Adsorption and desorption of hydrogen on/from single-vacancy and double-vacancy graphenes were studied by means of first-principles calculations. The structure and stability of continuous hydrogenation in single vacan...Adsorption and desorption of hydrogen on/from single-vacancy and double-vacancy graphenes were studied by means of first-principles calculations. The structure and stability of continuous hydrogenation in single vacancy were investigated. Several new stable structures were found, along with their corresponding energy barriers. In double-vacancy graphene, the preferred sites of H atoms were identified, and H2 molecule desorption and adsorption of from/on were calculated from the energy barriers. This work provides a systematic and comprehensive understanding of hydrogen behavior on defected graphene.展开更多
This paper is concerned with the existence of traveling wave solutions in a reaction-diffusion predator-prey system with Beddington-DeAngelis functional response and a discrete time delay. By introducing a partial qua...This paper is concerned with the existence of traveling wave solutions in a reaction-diffusion predator-prey system with Beddington-DeAngelis functional response and a discrete time delay. By introducing a partial quasi-monotonicity condition and constructing a pair of upper-lower solutions, we establish the existence of traveling wave solutions. Moreover, a numerical simulation is carried out to illustrate the theoretical results.展开更多
Bi3.15Nd0.85Ti3O12 (BNT) powder and thin film were prepared by metal organic decomposition (MOD) method. The heat flow curve of BNT powder was measured with a modulated temperature differential scanning calorimete...Bi3.15Nd0.85Ti3O12 (BNT) powder and thin film were prepared by metal organic decomposition (MOD) method. The heat flow curve of BNT powder was measured with a modulated temperature differential scanning calorimeter, and thermal physical parameters such as thermal conductivity coefficient and thermal diffusion coefficient were obtained from the heat flow curve. The phase identification, ferroelectric, and piezoelectric properties of BNT thin film annealed at 700℃ were investigated with X-ray diffractometer, ferroelectric analyzer, and scanning probe microscope. The results show that the thin films consisting of a single phase of bismuth-layered perovskite are polycrystalline, without a preferred orientation. Remnant polarization 2Pr is 63.2 μC/cm2 under 530 kV/cm applied field, and the effective piezoelectric coefficient d33 is 30 pm/V.展开更多
We theoretically investigate the microwave absorption properties of hydrogen plasma in iron-catalyzed high- pressure disproportionation-grown carbon nanotubes under an external static magnetic field in the frequency r...We theoretically investigate the microwave absorption properties of hydrogen plasma in iron-catalyzed high- pressure disproportionation-grown carbon nanotubes under an external static magnetic field in the frequency range 0.3 GHz to 30 GHz, using the Maxwell equations in conjunction with a general expression for the effective complex permittivity of magnetized plasma known as the Appleton Hartree formula. The effects of the external static magnetic field intensity and the incident microwave propagation direction on the microwave absorption of hydrogen plasma in CNTs are studied in detail. The numerical results indicate that the microwave absorption properties of hydrogen plasma in iron-catalyzed high-pressure disproportionation-grown carbon nanotubes can be obviously improved when the exter- nal static magnetic field is applied to the material. It is found that the specified frequency microwave can be strongly absorbed by the hydrogen plasma in iron-catalyzed high-pressure disproportionation-grown carbon nanotubes over a wide range of incidence angles by adjusting the external magnetic field intensity and the parameters of the hydrogen plasma.展开更多
A model of an ultrasound-driven encapsulated microbubble(EMB) oscillation near biomaterial wall is presented and used for describing the microflow-induced shear stress on the wall by means of a numerical method. The...A model of an ultrasound-driven encapsulated microbubble(EMB) oscillation near biomaterial wall is presented and used for describing the microflow-induced shear stress on the wall by means of a numerical method. The characteristic of the model lies in the explicit treatment of different types of wall for the EMB responses. The simulation results show that the radius-time change trends obtained by our model are consistent with the existing models and experimental results. In addition, the effect of the elastic wall on the acoustic EMB response is stronger than that of the rigid wall, and the shear stress on the elastic wall is larger than that of the rigid wall. The closer the EMB to the wall, the greater the shear stress on the wall. The substantial shear stress on the wall surface occurs inside a circular zone with a radius about two-thirds of the bubble radius. This paper may be of interest in the study of potential damage mechanisms to the microvessel for drug and gene delivery due to sonoporation.展开更多
Non-shear flow can change the O-point position of a magnetic island, and thus it may play an important role in the effects of resonant magnetic perturbation(RMP) on the single tearing mode. We employ the nonlinear mag...Non-shear flow can change the O-point position of a magnetic island, and thus it may play an important role in the effects of resonant magnetic perturbation(RMP) on the single tearing mode. We employ the nonlinear magnetohydrodynamics model in a slab geometry to investigate how RMP affects the single tearing mode instability with non-shear flow. It is found that the driving and suppressing effects of RMP on single tearing mode instability will appear alternately. When the flow velocity is small, the suppressing effect plays a major role through the development of the mode, and the tearing mode instability will be suppressed. With the flow velocity increasing, the driving effect will increase, while the suppressing effect will decrease. When the two effects reach equilibrium, the tearing mode will become stable.展开更多
The goal of this article is to establish the conditions of excitation where one has to deal with ultrasound contrast agent(UCA) microbubbles pulsating near biological tissues with spherical boundary in ultrasound fiel...The goal of this article is to establish the conditions of excitation where one has to deal with ultrasound contrast agent(UCA) microbubbles pulsating near biological tissues with spherical boundary in ultrasound field for targeted drug delivery and cavitation-enhanced thrombolysis, etc., and contributes to understanding of mechanisms at play in such an interaction. A modified model is presented for describing microbubble dynamics near a spherical boundary(including convex boundary and concave boundary) with an arbitrary-sized aperture angle. The novelty of the model is such that an oscillating microbubble is influenced by an additional pressure produced by the sound reflection from the boundary wall. It is found that the amplitude of microbubble oscillation is positively correlated to the curve radius of the wall and negatively correlated to the aperture angle of the wall and the sound reflection coefficient. Moreover, the natural frequency of the microbubble oscillation for such a compliable wall increases with the wall compliance, but decreases with the reduction of the wall size, indicating distinct increase of the natural frequency compared to a common rigid wall. The proposed model may allow obtaining accurate information on the radiation force and signals that may be used to advantage in related as drug delivery and contrast agent imaging.展开更多
The capabilities of current drive, neoclassical tearing mode (NTM) stabilization, and sawtooth control are analyzed for the electron-cyclotron wave (ECW) system in a HL-2M tokamak. Better performance of the upper ...The capabilities of current drive, neoclassical tearing mode (NTM) stabilization, and sawtooth control are analyzed for the electron-cyclotron wave (ECW) system in a HL-2M tokamak. Better performance of the upper launcher is demonstrated in comparison with that of a dropped upper launcher, in terms of JEc/Jbs for NTM stabilization and 1ECCD/(Aptor)2 for sawtooth control. 1-MW ECW power is enough for the 3/2 NTM stabilization, and 1.8-MW ECW power is required to suppress 2/1 NTM in a single null divertor equilibrium with 1.2-MA toroidal current with the upper launcher. Optimization simulation of electron-cyclotron current drive (ECCD) is carried out for three mirrors in an equatorial port, indicating that the middle mirror has a good performance compared with the top and bottom mirrors. The results for balanced co- and counter-ECCD in an equatorial port are also presented.展开更多
In this article, we consider the controllability of a quasi-linear heat equation involving gradient terms with Dirichlet boundary conditions in a bounded domain of RN.The results are established by using the variation...In this article, we consider the controllability of a quasi-linear heat equation involving gradient terms with Dirichlet boundary conditions in a bounded domain of RN.The results are established by using the variational methods, the related duality theory and Kakutani Fixed-point Theorem.展开更多
Based on an equivalent resistance-capacitance network, the complex conductivity and the relative complex permittivity of single wall carbon nanotubes (SWNTs)/polymer composite are theoretically investigated in the fre...Based on an equivalent resistance-capacitance network, the complex conductivity and the relative complex permittivity of single wall carbon nanotubes (SWNTs)/polymer composite are theoretically investigated in the frequency range of 0.30-18 GHz using the logarithmic rule. Both the real and imaginary parts of the permittivities of SWNTs and polymer are considered in detail. The calculated complex permittivity spectra of SWNTs/poly(ethyl methacrylate) composite films are in good agreement with the available experimental data. The influences of SWNTs concentration on both the complex conductivity and the dielectric loss tangent of the composite are presented in the microwave frequency range. A linear relationship between microwave conductivity and frequency is found.展开更多
Let R be a left and right Noetherian ring and n, k be any non-negative integers. R is said to satisfy the Auslander-type condition Gn(k) if the right fiat dimension of the (i + 1)-th term in a minimal injective r...Let R be a left and right Noetherian ring and n, k be any non-negative integers. R is said to satisfy the Auslander-type condition Gn(k) if the right fiat dimension of the (i + 1)-th term in a minimal injective resolution of RR is at most i + k for any 0 ≤ i ≤ n - 1. In this paper, we prove that R is Gn(k) if and only if so is a lower triangular matrix ring of any degree t over R.展开更多
We consider the asymptotic behavior of solutions of an infinite lattice dynamical system of dissipative Zakharov equation. By introducing new weight inner product and norm in the space and establishing uniform estimat...We consider the asymptotic behavior of solutions of an infinite lattice dynamical system of dissipative Zakharov equation. By introducing new weight inner product and norm in the space and establishing uniform estimate on "Tail End" of solutions, we overcome some difficulties caused by the lack of Sobolev compact embedding under infinite lattice system, and prove the existence of the global attractor; then by using element decomposition and the covering property of a polyhedron in the finite-dimensional space, we obtain an upper bound for the Kolmogorov ε-entropy of the global attractor; finally, we present the upper semicontinuity of the global attractor.展开更多
Graphene nanoribbons (GNRs) recently have drawn much interest because of their novel electronic properties such as well-controlled electronic structures [1], high Seebeck coefficient [2], and intriguing electronic t...Graphene nanoribbons (GNRs) recently have drawn much interest because of their novel electronic properties such as well-controlled electronic structures [1], high Seebeck coefficient [2], and intriguing electronic transport [3]. For the thermoelectric energy conversion, GNRs are thought to be rather poor candidates because of too high phonon thermal conductance [4], though they own good electronic conduction, Thus, the reduction of the phonon thermal conductance of GNRs is particularly important for their thermoelectric applications. Several methods such as strain [5],展开更多
A novel data-driven method based on Gaussian mixture model (GMM) and distance evaluation technique (DET) is proposed to predict the remaining useful life (RUL) of rolling bearings. The data sets are clustered by...A novel data-driven method based on Gaussian mixture model (GMM) and distance evaluation technique (DET) is proposed to predict the remaining useful life (RUL) of rolling bearings. The data sets are clustered by GMM to divide all data sets into several health states adaptively and reasonably. The number of clusters is determined by the minimum description length principle. Thus, either the health state of the data sets or the number of the states is obtained automatically. Meanwhile, the abnormal data sets can be recognized during the clustering process and removed from the training data sets. After obtaining the health states, appropriate features are selected by DET for increasing the classification and prediction accuracy. In the prediction process, each vibration signal is decomposed into several components by empirical mode decomposition. Some common statis- tical parameters of the components are calculated first and then the features are clustered using GMM to divide the data sets into several health states and remove the abnormal data sets. Thereafter, appropriate statistical parameters of the generated components are selected using DET. Finally, least squares support vector machine is utilized to predict the RUL of rolling bearings.Experimental results indicate that the proposed method reliably predicts the RUL of rolling bearings.展开更多
In this paper,the Joule–Thomson expansion of the higher dimensional nonlinearly anti-de Sitter(Ad S)black hole with power Maxwell invariant source is investigated.The results show the Joule–Thomson coefficient has a...In this paper,the Joule–Thomson expansion of the higher dimensional nonlinearly anti-de Sitter(Ad S)black hole with power Maxwell invariant source is investigated.The results show the Joule–Thomson coefficient has a zero point and a divergent point,which coincide with the inversion temperature Tiand the zero point of the Hawking temperature,respectively.The inversion temperature increases monotonously with inversion pressure.For the high-pressure region,the inversion temperature decreases with the dimensionality D and the nonlinearity parameter s,whereas it increases with the charge Q.However,Tifor the low-pressure region increase with D and s,while it decreases with Q.The ratioηBHbetween the minimum inversion temperature and the critical temperature does not depend on Q,it recovers the higher dimensional Reissner–N?rdstrom Ad S black hole case when s=1.However,for s>1,it becomes smaller and smaller as D increases and approaches a constant when D→∞.Finally,we found that an increase of mass M and s,or reducing the charge Q and D can enhance the isenthalpic curve,and the effect of s on the isenthalpic curve is much greater than other parameters.展开更多
J.Y. Park and T. G. Ha [Nonlinear Anal., 2008, 68: 747-767; 2009, 7h 3203-3217] investigated the existence of anti-periodic solutions for hemivariational inequalities with a pseudomonotone operator. In this note, we ...J.Y. Park and T. G. Ha [Nonlinear Anal., 2008, 68: 747-767; 2009, 7h 3203-3217] investigated the existence of anti-periodic solutions for hemivariational inequalities with a pseudomonotone operator. In this note, we point out that the methods used there are not suitable for the proof of the existence of anti-periodic solutions for hemivariational inequalities and we shall give a straightforward approach to handle these problems. The main tools in our study are the maximal monotone property of the derivative operator with anti- periodic conditions and the surjectivity result for L-pseudomonotone operators.展开更多
Gabbard et al.have demonstrated that convolutional neural networks can achieve the sensitivity of matched filtering in the recognization of the gravitational-wave signals with high efficiency[Phys.Rev.Lett.120,141103(...Gabbard et al.have demonstrated that convolutional neural networks can achieve the sensitivity of matched filtering in the recognization of the gravitational-wave signals with high efficiency[Phys.Rev.Lett.120,141103(2018)].In this work we show that their model can be optimized for better accuracy.The convolutional neural networks typically have alternating convolutional layers and max pooling layers,followed by a small number of fully connected layers.We increase the stride in the max pooling layer by 1,followed by a dropout layer to alleviate overfitting in the original model.We find that these optimizations can effectively increase the area under the receiver operating characteristic curve for various tests on the same dataset.展开更多
The exact metric of a Schwarzschild black hole in the true radiation gauge was recently reported. In this work, we base on this gravity and calculate the gravitational deflection of relativistic massive particles up t...The exact metric of a Schwarzschild black hole in the true radiation gauge was recently reported. In this work, we base on this gravity and calculate the gravitational deflection of relativistic massive particles up to the fourth post-Minkowskian order. It is found that the result is consistent with the previous formulations for both the case of dropping the fourth-order contribution and the case of light deflection. Our result might be helpful for future high-accuracy observations.展开更多
We derive a more generally parameterized post-post-Newtonian solution for the light propagation in the gravitational field of one spherically-symmetric body.Based on the solution for the light velocity,we give the for...We derive a more generally parameterized post-post-Newtonian solution for the light propagation in the gravitational field of one spherically-symmetric body.Based on the solution for the light velocity,we give the formula of the light deflection when both the emitter and receiver are located in the regions far away from the body,which is the most important scenario in the real applications.Our results can be applied to more metric theories of gravitation.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.5160121211475082)‘‘Strategic Priority Research Program of Chinese Academy of Sciences’’ Thorium Molten Salts Reactor Fund
文摘Adsorption and desorption of hydrogen on/from single-vacancy and double-vacancy graphenes were studied by means of first-principles calculations. The structure and stability of continuous hydrogenation in single vacancy were investigated. Several new stable structures were found, along with their corresponding energy barriers. In double-vacancy graphene, the preferred sites of H atoms were identified, and H2 molecule desorption and adsorption of from/on were calculated from the energy barriers. This work provides a systematic and comprehensive understanding of hydrogen behavior on defected graphene.
文摘This paper is concerned with the existence of traveling wave solutions in a reaction-diffusion predator-prey system with Beddington-DeAngelis functional response and a discrete time delay. By introducing a partial quasi-monotonicity condition and constructing a pair of upper-lower solutions, we establish the existence of traveling wave solutions. Moreover, a numerical simulation is carried out to illustrate the theoretical results.
基金Projects(10825209,50872117) supported by the National Natural Science Foundation of ChinaProject([2009]17) supported by Changjiang Scholar Incentive Program,China+2 种基金Project([2007]362) supported by Hunan’s Prestigious Furong Scholar Award,ChinaProject supported by Aid Program for Science and Technology Innovative Research Team in Higher Educational Instituions of Hunan Province,ChinaProject(09JJ7004) supported by the Natural Science Foundation of Hunan Province for Innovation Group,China
文摘Bi3.15Nd0.85Ti3O12 (BNT) powder and thin film were prepared by metal organic decomposition (MOD) method. The heat flow curve of BNT powder was measured with a modulated temperature differential scanning calorimeter, and thermal physical parameters such as thermal conductivity coefficient and thermal diffusion coefficient were obtained from the heat flow curve. The phase identification, ferroelectric, and piezoelectric properties of BNT thin film annealed at 700℃ were investigated with X-ray diffractometer, ferroelectric analyzer, and scanning probe microscope. The results show that the thin films consisting of a single phase of bismuth-layered perovskite are polycrystalline, without a preferred orientation. Remnant polarization 2Pr is 63.2 μC/cm2 under 530 kV/cm applied field, and the effective piezoelectric coefficient d33 is 30 pm/V.
基金Project supported by the Science Research Program of Hunan Province, China (Grant No. 2010FJ4092)the National Natural Science Foundation of China (Grant No. 11075073)
文摘We theoretically investigate the microwave absorption properties of hydrogen plasma in iron-catalyzed high- pressure disproportionation-grown carbon nanotubes under an external static magnetic field in the frequency range 0.3 GHz to 30 GHz, using the Maxwell equations in conjunction with a general expression for the effective complex permittivity of magnetized plasma known as the Appleton Hartree formula. The effects of the external static magnetic field intensity and the incident microwave propagation direction on the microwave absorption of hydrogen plasma in CNTs are studied in detail. The numerical results indicate that the microwave absorption properties of hydrogen plasma in iron-catalyzed high-pressure disproportionation-grown carbon nanotubes can be obviously improved when the exter- nal static magnetic field is applied to the material. It is found that the specified frequency microwave can be strongly absorbed by the hydrogen plasma in iron-catalyzed high-pressure disproportionation-grown carbon nanotubes over a wide range of incidence angles by adjusting the external magnetic field intensity and the parameters of the hydrogen plasma.
基金Projects supported by the National Natural Science Foundation of China(Grant Nos.11174077 and 11474090)the Natural Science Foundation of Hunan Province,China(Grant No.13JJ3076)+1 种基金the Science Research Program of Education Department of Hunan Province,China(Grant No.14A127)the Doctoral Fund of University of South China(Grant No.2011XQD46)
文摘A model of an ultrasound-driven encapsulated microbubble(EMB) oscillation near biomaterial wall is presented and used for describing the microflow-induced shear stress on the wall by means of a numerical method. The characteristic of the model lies in the explicit treatment of different types of wall for the EMB responses. The simulation results show that the radius-time change trends obtained by our model are consistent with the existing models and experimental results. In addition, the effect of the elastic wall on the acoustic EMB response is stronger than that of the rigid wall, and the shear stress on the elastic wall is larger than that of the rigid wall. The closer the EMB to the wall, the greater the shear stress on the wall. The substantial shear stress on the wall surface occurs inside a circular zone with a radius about two-thirds of the bubble radius. This paper may be of interest in the study of potential damage mechanisms to the microvessel for drug and gene delivery due to sonoporation.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11647314 and 11747311)
文摘Non-shear flow can change the O-point position of a magnetic island, and thus it may play an important role in the effects of resonant magnetic perturbation(RMP) on the single tearing mode. We employ the nonlinear magnetohydrodynamics model in a slab geometry to investigate how RMP affects the single tearing mode instability with non-shear flow. It is found that the driving and suppressing effects of RMP on single tearing mode instability will appear alternately. When the flow velocity is small, the suppressing effect plays a major role through the development of the mode, and the tearing mode instability will be suppressed. With the flow velocity increasing, the driving effect will increase, while the suppressing effect will decrease. When the two effects reach equilibrium, the tearing mode will become stable.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11774088 and 11474090)the Hunan-Provincial Natural Science Foundation of China(Grant No.13JJ3076)the Science Research Program of Education Department of Hunan Province of China(Grant No.14A127)
文摘The goal of this article is to establish the conditions of excitation where one has to deal with ultrasound contrast agent(UCA) microbubbles pulsating near biological tissues with spherical boundary in ultrasound field for targeted drug delivery and cavitation-enhanced thrombolysis, etc., and contributes to understanding of mechanisms at play in such an interaction. A modified model is presented for describing microbubble dynamics near a spherical boundary(including convex boundary and concave boundary) with an arbitrary-sized aperture angle. The novelty of the model is such that an oscillating microbubble is influenced by an additional pressure produced by the sound reflection from the boundary wall. It is found that the amplitude of microbubble oscillation is positively correlated to the curve radius of the wall and negatively correlated to the aperture angle of the wall and the sound reflection coefficient. Moreover, the natural frequency of the microbubble oscillation for such a compliable wall increases with the wall compliance, but decreases with the reduction of the wall size, indicating distinct increase of the natural frequency compared to a common rigid wall. The proposed model may allow obtaining accurate information on the radiation force and signals that may be used to advantage in related as drug delivery and contrast agent imaging.
基金supported by the National Natural Science Foundation of China(Grant Nos.11375085,11405082,11505092,11475083,and 11375053)the National Magnetic Confinement Fusion Science Program of China(Grant Nos.2013GB104004,2013GB111000,2014GB107000,and 2014GB108002)the Natural Science Foundation of Hunan Province,China(Grant No.2015JJ4044)
文摘The capabilities of current drive, neoclassical tearing mode (NTM) stabilization, and sawtooth control are analyzed for the electron-cyclotron wave (ECW) system in a HL-2M tokamak. Better performance of the upper launcher is demonstrated in comparison with that of a dropped upper launcher, in terms of JEc/Jbs for NTM stabilization and 1ECCD/(Aptor)2 for sawtooth control. 1-MW ECW power is enough for the 3/2 NTM stabilization, and 1.8-MW ECW power is required to suppress 2/1 NTM in a single null divertor equilibrium with 1.2-MA toroidal current with the upper launcher. Optimization simulation of electron-cyclotron current drive (ECCD) is carried out for three mirrors in an equatorial port, indicating that the middle mirror has a good performance compared with the top and bottom mirrors. The results for balanced co- and counter-ECCD in an equatorial port are also presented.
基金supported financially by the National Natural Science Foundation of China(10971019)supported financially by the Scientific Research Fund of Hunan Provincial Educational Department(09C852)
文摘In this article, we consider the controllability of a quasi-linear heat equation involving gradient terms with Dirichlet boundary conditions in a bounded domain of RN.The results are established by using the variational methods, the related duality theory and Kakutani Fixed-point Theorem.
基金the Science Research Program of Educational Department of Hunan Province of China (Grant No. 07C640)the Doctor Foundation of China (Grant No. 20030532008)
文摘Based on an equivalent resistance-capacitance network, the complex conductivity and the relative complex permittivity of single wall carbon nanotubes (SWNTs)/polymer composite are theoretically investigated in the frequency range of 0.30-18 GHz using the logarithmic rule. Both the real and imaginary parts of the permittivities of SWNTs and polymer are considered in detail. The calculated complex permittivity spectra of SWNTs/poly(ethyl methacrylate) composite films are in good agreement with the available experimental data. The influences of SWNTs concentration on both the complex conductivity and the dielectric loss tangent of the composite are presented in the microwave frequency range. A linear relationship between microwave conductivity and frequency is found.
基金Projects(52204363,12004169)supported by the National Natural Science Foundation of ChinaProject(22C0220)supported by the Education Department of Hunan Province,China。
基金supported by the Specialized Research Fund for the Doctoral Pro-gram of Higher Education(Grant No.20100091110034)National Natural Science Foundation of China(Grant Nos.11171142,11126169,11101217)+2 种基金Natural Science Foundation of Jiangsu Province of China(Grant Nos.BK2010047,BK2010007)the Scientific Research Fund of Hunan Provincial Education Department(Grant No.10C1143)a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions
文摘Let R be a left and right Noetherian ring and n, k be any non-negative integers. R is said to satisfy the Auslander-type condition Gn(k) if the right fiat dimension of the (i + 1)-th term in a minimal injective resolution of RR is at most i + k for any 0 ≤ i ≤ n - 1. In this paper, we prove that R is Gn(k) if and only if so is a lower triangular matrix ring of any degree t over R.
基金supported by National Natural Science Foundation of People's Republic of China (10771139)Partly supported by A Project Supported by Scientific Research Fund of Hu'nan Provincial Education on Department (08A070 08A071)
文摘We consider the asymptotic behavior of solutions of an infinite lattice dynamical system of dissipative Zakharov equation. By introducing new weight inner product and norm in the space and establishing uniform estimate on "Tail End" of solutions, we overcome some difficulties caused by the lack of Sobolev compact embedding under infinite lattice system, and prove the existence of the global attractor; then by using element decomposition and the covering property of a polyhedron in the finite-dimensional space, we obtain an upper bound for the Kolmogorov ε-entropy of the global attractor; finally, we present the upper semicontinuity of the global attractor.
基金the National Natural Science Foundation of China(Grant No.11404110)the Natural Science Foundation of Hunan Province(Grant Nos.2017JJ2062,and 2017JJ3051)+2 种基金the Natural Science Foundation of Shenzhen University(Grant No.000053)the China Postdoctoral Science Foundation(Grant No.2016M590802)the Outstanding Youth Program of Hunan Provincial Education Department of China(Grant No.14B046)
文摘Graphene nanoribbons (GNRs) recently have drawn much interest because of their novel electronic properties such as well-controlled electronic structures [1], high Seebeck coefficient [2], and intriguing electronic transport [3]. For the thermoelectric energy conversion, GNRs are thought to be rather poor candidates because of too high phonon thermal conductance [4], though they own good electronic conduction, Thus, the reduction of the phonon thermal conductance of GNRs is particularly important for their thermoelectric applications. Several methods such as strain [5],
基金Acknowledgements The authors gratefully acknowledge the support of the National Key Research and Development Program of China (Grant No. 2016YFF0203400), the National Natural Science Foundation of China (Grant Nos. 51575168 and 51375152), the Project of National Science and Technology Supporting Plan (Grant No. 2015BAF32B03), and the Science Research Key Program of Educational Department of Hunan Province of China (Grant No. 16A180). The authors appreciate the support provided by the Collaborative Innovation Center of Intelligent New Energy Vehicle, the Hunan Collaborative Innovation Center for Green Car.
文摘A novel data-driven method based on Gaussian mixture model (GMM) and distance evaluation technique (DET) is proposed to predict the remaining useful life (RUL) of rolling bearings. The data sets are clustered by GMM to divide all data sets into several health states adaptively and reasonably. The number of clusters is determined by the minimum description length principle. Thus, either the health state of the data sets or the number of the states is obtained automatically. Meanwhile, the abnormal data sets can be recognized during the clustering process and removed from the training data sets. After obtaining the health states, appropriate features are selected by DET for increasing the classification and prediction accuracy. In the prediction process, each vibration signal is decomposed into several components by empirical mode decomposition. Some common statis- tical parameters of the components are calculated first and then the features are clustered using GMM to divide the data sets into several health states and remove the abnormal data sets. Thereafter, appropriate statistical parameters of the generated components are selected using DET. Finally, least squares support vector machine is utilized to predict the RUL of rolling bearings.Experimental results indicate that the proposed method reliably predicts the RUL of rolling bearings.
基金supported in part by the National Natural Science Foundation of China(Grant Nos.11847048,11947128 and 11947018)the Fundamental Research Funds of China West Normal University(Grant Nos.20B009,17E093 and 18Q067)。
文摘In this paper,the Joule–Thomson expansion of the higher dimensional nonlinearly anti-de Sitter(Ad S)black hole with power Maxwell invariant source is investigated.The results show the Joule–Thomson coefficient has a zero point and a divergent point,which coincide with the inversion temperature Tiand the zero point of the Hawking temperature,respectively.The inversion temperature increases monotonously with inversion pressure.For the high-pressure region,the inversion temperature decreases with the dimensionality D and the nonlinearity parameter s,whereas it increases with the charge Q.However,Tifor the low-pressure region increase with D and s,while it decreases with Q.The ratioηBHbetween the minimum inversion temperature and the critical temperature does not depend on Q,it recovers the higher dimensional Reissner–N?rdstrom Ad S black hole case when s=1.However,for s>1,it becomes smaller and smaller as D increases and approaches a constant when D→∞.Finally,we found that an increase of mass M and s,or reducing the charge Q and D can enhance the isenthalpic curve,and the effect of s on the isenthalpic curve is much greater than other parameters.
基金Acknowledgements The author would like to express his gratitude to the referees for their very valuable comments. This work was supported by the National Natural Science Foundation of China (Grant No. 11501284) and the Scientific Research Fund of Hunan Provincial Education Department (Grant No. 16B224).
文摘J.Y. Park and T. G. Ha [Nonlinear Anal., 2008, 68: 747-767; 2009, 7h 3203-3217] investigated the existence of anti-periodic solutions for hemivariational inequalities with a pseudomonotone operator. In this note, we point out that the methods used there are not suitable for the proof of the existence of anti-periodic solutions for hemivariational inequalities and we shall give a straightforward approach to handle these problems. The main tools in our study are the maximal monotone property of the derivative operator with anti- periodic conditions and the surjectivity result for L-pseudomonotone operators.
基金the reviewers for providing constructive comments and suggestions to improve the quality of this paper.W.L.was supported by grants from NSFC(Grant Nos.11647314 and 11847307)Q.G.H.was supported by grants from NSFC(Grant Nos.11G90021,11575271.and 11747601)the Strategic Priority Research Program of Chinese Academy of Sciences(Grant Nos.XDB23000000 and XDA15020701)。
文摘Gabbard et al.have demonstrated that convolutional neural networks can achieve the sensitivity of matched filtering in the recognization of the gravitational-wave signals with high efficiency[Phys.Rev.Lett.120,141103(2018)].In this work we show that their model can be optimized for better accuracy.The convolutional neural networks typically have alternating convolutional layers and max pooling layers,followed by a small number of fully connected layers.We increase the stride in the max pooling layer by 1,followed by a dropout layer to alleviate overfitting in the original model.We find that these optimizations can effectively increase the area under the receiver operating characteristic curve for various tests on the same dataset.
基金Supported by the National Natural Science Foundation of China under Grant No.11647314the Research Foundation of Education Department of Hunan Province under Grant No.18C0427
文摘The exact metric of a Schwarzschild black hole in the true radiation gauge was recently reported. In this work, we base on this gravity and calculate the gravitational deflection of relativistic massive particles up to the fourth post-Minkowskian order. It is found that the result is consistent with the previous formulations for both the case of dropping the fourth-order contribution and the case of light deflection. Our result might be helpful for future high-accuracy observations.
基金Supported in part by the National Natural Science Foundation of China under Grant Nos.11647314 and 11847307
文摘We derive a more generally parameterized post-post-Newtonian solution for the light propagation in the gravitational field of one spherically-symmetric body.Based on the solution for the light velocity,we give the formula of the light deflection when both the emitter and receiver are located in the regions far away from the body,which is the most important scenario in the real applications.Our results can be applied to more metric theories of gravitation.