In this work,we study the linearized Landau equation with soft potentials and show that the smooth solution to the Cauchy problem with initial datum in L^(2)(ℝ^(3))enjoys an analytic regularization effect,and that the...In this work,we study the linearized Landau equation with soft potentials and show that the smooth solution to the Cauchy problem with initial datum in L^(2)(ℝ^(3))enjoys an analytic regularization effect,and that the evolution of the analytic radius is the same as the heat equations.展开更多
In this article, we study the analytical smoothing effect of Cauchy problem for the incompressible Boussinesq equations. Precisely, we use the Fourier method to prove that the Sobolev H^1 -solution to the incompressib...In this article, we study the analytical smoothing effect of Cauchy problem for the incompressible Boussinesq equations. Precisely, we use the Fourier method to prove that the Sobolev H^1 -solution to the incompressible Boussinesq equations in periodic domain is analytic for any positive time. So the incompressible Boussinesq equations admit exactly same smoothing effect properties of incompressible Navier-Stokes equations.展开更多
In this work, we study the smoothing effect of Cauchy problem in Sobolev space for the spatially homogeneous Landau equation in the Maxwellian case. We obtain a precise estimate with respect to time variable, which im...In this work, we study the smoothing effect of Cauchy problem in Sobolev space for the spatially homogeneous Landau equation in the Maxwellian case. We obtain a precise estimate with respect to time variable, which implies the ultra-analytic effect of weak solutions.展开更多
Objective： To investigate the inhibitory effect of caffeic acid phenethyl ester（CAPE） on the proliferation of vascular smooth muscle cells （VSMC） activated by lipopolysaccharide （LPS） and to clarify its mechani...Objective： To investigate the inhibitory effect of caffeic acid phenethyl ester（CAPE） on the proliferation of vascular smooth muscle cells （VSMC） activated by lipopolysaccharide （LPS） and to clarify its mechanism. Methods： VSMC activated by LPS （1 mg-L^-1） were treated with CAPE at different concentrations. The inhibitory effecfs of CAPE on the proliferation of VSMC were determined by methabenzthiazuron（MTT） colorimetry. The effects of CAPE on the expression of proliferating cell nuclear antigen （PCNA） and Survivin protein in VSMC were evaluated by immunocytochemistry staining technique （SABC method）. Cell cycle was analyzed by flow cytometry（FCM） with propidiumiodide （PI） labeling method. The relative expression level of Survivin mRNA was measured with real-time quantified RT-PCR technique. Results. CAPE exerted significant inhibitory effects on. proliferation of VSMC at concentrations ranging from 5 mg·L^-1 to 80 mg·L^-1, decreased the rate of cells positive for PCNA and Survivin protein and repressed the expressioh of Survivin mRNA in a dose- and time-dependent manner （P 〈 0.05）. FCM analysis displayed that CAPE up-regulated the ratio of G0/G1 stages and reduced the percentage of VSMC in S stage （P 〈 0.05）. Conclusion： CAPE can significantly inhibit the proliferation of VSMC activated by LPS in a dose- and time-dependent manner, which may be carded out through regulating cell cycle and repressing the expression of PCNA and Survivin.展开更多
A new compound,3,5-dihydroxy-N-（3-nitrobenzylidene）benzohydrazide （DNBB） methanol solvate,was synthesized and characterized by single-crystal X-ray diffraction.DNBB crystallizes in a monoclinic system,space group ...A new compound,3,5-dihydroxy-N-（3-nitrobenzylidene）benzohydrazide （DNBB） methanol solvate,was synthesized and characterized by single-crystal X-ray diffraction.DNBB crystallizes in a monoclinic system,space group P2 1/c with a=8.387（4）,b=23.237（10）,c=9.133（3）,β=122.10（3）o,Z=4,V=1507.8（12） 3,D c=1.464 g/cm 3,F（000）=696.0,μ=0.116 mm-1,the final R=0.0480 and wR=0.1294.DNBB exhibited low toxicity on Caco-2 cell culture and produced significant inhibitory effect on the contraction of rat jejunal longitudinal smooth muscle （JLSM）.The mechanism of DNBB on JLSM was correlated to the stimulation of α and β adrenergic receptors since α receptor antagonist phentolamine and β receptor antagonist propranolol abolished the inhibitory effects of DNBB on the contraction of JLSM,respectively.展开更多
In this work,we study the Cauchy problem of the spatially homogeneous Landau equation with hard potentials in a close-to-equilibrium framework.We prove that the solution to the Cauchy problem enjoys the analytic regul...In this work,we study the Cauchy problem of the spatially homogeneous Landau equation with hard potentials in a close-to-equilibrium framework.We prove that the solution to the Cauchy problem enjoys the analytic regularizing effect of the time variable with an L^(2)initial datum for positive time.So that the smoothing effect of the Cauchy problem for the spatially homogeneous Landau equation with hard potentials is exactly same as heat equation.展开更多
Submarine landslides can cause severe damage to marine engineering structures. Their sliding velocity and runout distance are two major parameters for quantifying and analyzing the risk of submarine landslides.Current...Submarine landslides can cause severe damage to marine engineering structures. Their sliding velocity and runout distance are two major parameters for quantifying and analyzing the risk of submarine landslides.Currently, commercial calculation programs such as BING have limitations in simulating underwater soil movements. All of these processes can be consistently simulated through a smoothed particle hydrodynamics（SPH） depth integrated model. The basis of the model is a control equation that was developed to take into account the effects of soil consolidation and erosion. In this work, the frictional rheological mode has been used to perform a simulation study of submarine landslides. Time-history curves of the sliding body＇s velocity, height,and length under various conditions of water depth, slope gradient, contact friction coefficient, and erosion rate are compared; the maximum sliding distance and velocity are calculated; and patterns of variation are discussed.The findings of this study can provide a reference for disaster warnings and pipeline route selection.展开更多
The fast-slow effect can be observed in a typical non-smooth electric circuit with order gap between the natural frequency and the excitation frequency. Numerical simulations are employed to show complicated behaviour...The fast-slow effect can be observed in a typical non-smooth electric circuit with order gap between the natural frequency and the excitation frequency. Numerical simulations are employed to show complicated behaviours, especially different types of busting phenomena. The bifurcation mechanism for the bursting solutions is analysed by assuming the forms of the solutions and introducing the generalized Jacobian matrix at the non-smooth boundaries, which can also be used to account for the evolution of the complicated structures of the phase portraits with the variation of the parameter. Period-adding bifurcation has been explored through the computation of the eigenvalues related to the solutions. At the non-smooth boundaries the so-called ＇single crossing bifurcation＇ can occur, corresponding to the case where the eigenvalues jump only once across the imaginary axis, which leads the periodic burster to have a quasi-periodic oscillation.展开更多
The bullwhip effect in a multistage supply chain was analyzed using sophisticated stationary forecasts (third order moving average and third order exponential smoothing forecasts). The third order exponential smoothin...The bullwhip effect in a multistage supply chain was analyzed using sophisticated stationary forecasts (third order moving average and third order exponential smoothing forecasts). The third order exponential smoothing and third order moving average forecasts sometimes have a variance reducing effect on the supply chain.In a supply chain with positively correlated or independent and identically distributed (i.i.d) demands, the order variance based on simple moving average forecast (or simple exponential smoothing forecast) is larger than the order variance based on second order moving average forecast (or second order exponential smoothing forecast),and the order variance based on second order moving average forecast( or second order exponential smoothing forecast) is larger than the order variance based on third order moving average forecast( or third order exponential smoothing forecast). In addition, for i.i.d demands, third order exponential smoothing forecast leads to a larger variation than third order moving average forecast.展开更多
基金supported by the Natural Science Foundation of Hubei Province,China (2022CFB444)the Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles (NUAA)+1 种基金supported by the NSFC (12031006)the Fundamental Research Funds for the Central Universities of China.
文摘In this work,we study the linearized Landau equation with soft potentials and show that the smooth solution to the Cauchy problem with initial datum in L^(2)(ℝ^(3))enjoys an analytic regularization effect,and that the evolution of the analytic radius is the same as the heat equations.
基金supported partially by "The Fundamental Research Funds for Central Universities of China"
文摘In this article, we study the analytical smoothing effect of Cauchy problem for the incompressible Boussinesq equations. Precisely, we use the Fourier method to prove that the Sobolev H^1 -solution to the incompressible Boussinesq equations in periodic domain is analytic for any positive time. So the incompressible Boussinesq equations admit exactly same smoothing effect properties of incompressible Navier-Stokes equations.
文摘In this work, we study the smoothing effect of Cauchy problem in Sobolev space for the spatially homogeneous Landau equation in the Maxwellian case. We obtain a precise estimate with respect to time variable, which implies the ultra-analytic effect of weak solutions.
文摘Objective： To investigate the inhibitory effect of caffeic acid phenethyl ester（CAPE） on the proliferation of vascular smooth muscle cells （VSMC） activated by lipopolysaccharide （LPS） and to clarify its mechanism. Methods： VSMC activated by LPS （1 mg-L^-1） were treated with CAPE at different concentrations. The inhibitory effecfs of CAPE on the proliferation of VSMC were determined by methabenzthiazuron（MTT） colorimetry. The effects of CAPE on the expression of proliferating cell nuclear antigen （PCNA） and Survivin protein in VSMC were evaluated by immunocytochemistry staining technique （SABC method）. Cell cycle was analyzed by flow cytometry（FCM） with propidiumiodide （PI） labeling method. The relative expression level of Survivin mRNA was measured with real-time quantified RT-PCR technique. Results. CAPE exerted significant inhibitory effects on. proliferation of VSMC at concentrations ranging from 5 mg·L^-1 to 80 mg·L^-1, decreased the rate of cells positive for PCNA and Survivin protein and repressed the expressioh of Survivin mRNA in a dose- and time-dependent manner （P 〈 0.05）. FCM analysis displayed that CAPE up-regulated the ratio of G0/G1 stages and reduced the percentage of VSMC in S stage （P 〈 0.05）. Conclusion： CAPE can significantly inhibit the proliferation of VSMC activated by LPS in a dose- and time-dependent manner, which may be carded out through regulating cell cycle and repressing the expression of PCNA and Survivin.
基金supported by the National Natural Science Foundation of China (No. 30772601)
文摘A new compound,3,5-dihydroxy-N-（3-nitrobenzylidene）benzohydrazide （DNBB） methanol solvate,was synthesized and characterized by single-crystal X-ray diffraction.DNBB crystallizes in a monoclinic system,space group P2 1/c with a=8.387（4）,b=23.237（10）,c=9.133（3）,β=122.10（3）o,Z=4,V=1507.8（12） 3,D c=1.464 g/cm 3,F（000）=696.0,μ=0.116 mm-1,the final R=0.0480 and wR=0.1294.DNBB exhibited low toxicity on Caco-2 cell culture and produced significant inhibitory effect on the contraction of rat jejunal longitudinal smooth muscle （JLSM）.The mechanism of DNBB on JLSM was correlated to the stimulation of α and β adrenergic receptors since α receptor antagonist phentolamine and β receptor antagonist propranolol abolished the inhibitory effects of DNBB on the contraction of JLSM,respectively.
基金the NSFC(No.12031006)and the Fundamental Research Funds for the Central Universities of China.
文摘In this work,we study the Cauchy problem of the spatially homogeneous Landau equation with hard potentials in a close-to-equilibrium framework.We prove that the solution to the Cauchy problem enjoys the analytic regularizing effect of the time variable with an L^(2)initial datum for positive time.So that the smoothing effect of the Cauchy problem for the spatially homogeneous Landau equation with hard potentials is exactly same as heat equation.
基金The Specialized Research Fund for the Doctoral Program of Higher Education under contract No.20120041130002the National Key Project of Science and Technology under contract No.2011ZX 05056-001-02the Fundamental Research Funds for the Central Universities under contract No.DUT14ZD220
文摘Submarine landslides can cause severe damage to marine engineering structures. Their sliding velocity and runout distance are two major parameters for quantifying and analyzing the risk of submarine landslides.Currently, commercial calculation programs such as BING have limitations in simulating underwater soil movements. All of these processes can be consistently simulated through a smoothed particle hydrodynamics（SPH） depth integrated model. The basis of the model is a control equation that was developed to take into account the effects of soil consolidation and erosion. In this work, the frictional rheological mode has been used to perform a simulation study of submarine landslides. Time-history curves of the sliding body＇s velocity, height,and length under various conditions of water depth, slope gradient, contact friction coefficient, and erosion rate are compared; the maximum sliding distance and velocity are calculated; and patterns of variation are discussed.The findings of this study can provide a reference for disaster warnings and pipeline route selection.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.10972091 and 10872080)
文摘The fast-slow effect can be observed in a typical non-smooth electric circuit with order gap between the natural frequency and the excitation frequency. Numerical simulations are employed to show complicated behaviours, especially different types of busting phenomena. The bifurcation mechanism for the bursting solutions is analysed by assuming the forms of the solutions and introducing the generalized Jacobian matrix at the non-smooth boundaries, which can also be used to account for the evolution of the complicated structures of the phase portraits with the variation of the parameter. Period-adding bifurcation has been explored through the computation of the eigenvalues related to the solutions. At the non-smooth boundaries the so-called ＇single crossing bifurcation＇ can occur, corresponding to the case where the eigenvalues jump only once across the imaginary axis, which leads the periodic burster to have a quasi-periodic oscillation.
基金The National Natural Science Foundation ofChina(No70573068)The Shanghai Education Com-mittee Foundation(No05FZ11)The Shanghai Lead-ing Academic Discipline(NoT0602)
文摘The bullwhip effect in a multistage supply chain was analyzed using sophisticated stationary forecasts (third order moving average and third order exponential smoothing forecasts). The third order exponential smoothing and third order moving average forecasts sometimes have a variance reducing effect on the supply chain.In a supply chain with positively correlated or independent and identically distributed (i.i.d) demands, the order variance based on simple moving average forecast (or simple exponential smoothing forecast) is larger than the order variance based on second order moving average forecast (or second order exponential smoothing forecast),and the order variance based on second order moving average forecast( or second order exponential smoothing forecast) is larger than the order variance based on third order moving average forecast( or third order exponential smoothing forecast). In addition, for i.i.d demands, third order exponential smoothing forecast leads to a larger variation than third order moving average forecast.
