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GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR THE 3D COMPRESSIBLE NON–ISENTROPIC EULER EQUATIONS WITH DAMPING 被引量:4
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作者 张映辉 吴国春 《Acta Mathematica Scientia》 SCIE CSCD 2014年第2期424-434,共11页
We investigate the global existence and asymptotic behavior of classical solutions for the 3D compressible non-isentropic damped Euler equations on a periodic domain. The global existence and uniqueness of classical s... We investigate the global existence and asymptotic behavior of classical solutions for the 3D compressible non-isentropic damped Euler equations on a periodic domain. The global existence and uniqueness of classical solutions are obtained when the initial data is near an equilibrium. Furthermore, the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods. 展开更多
关键词 Euler equations with damping global existence asymptotic behavior
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Some Remarks on Euler Equations with Damping in Multi-Dimensions 被引量:2
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作者 Zhang Gui-zhou, Wang Wei-keSchool of Mathematic and Statistics, Wuhan University, Wuhan 430072, Hubei, China 《Wuhan University Journal of Natural Sciences》 CAS 2003年第02A期331-334,共4页
We consider the Cauchy problem of Euler equations with damping. Based on the Green function and energy estimates of solutions, we improve the pointwise estimates and obtainL 1 estimate of solutions.
关键词 Euler equations with damping Green function pointwise estimate
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SOME PROBLEMS FOR LINEAR ELASTIC SYSTEMS WITH DAMPING 被引量:1
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作者 黄发伦 《Acta Mathematica Scientia》 SCIE CSCD 1990年第3期319-326,共8页
In the present paper we investigate linear elastic systems with damping in Hilbert spaces, where A and B ars unbounded positive definite linear operators. We have obtained the most fundamental results for the holomorp... In the present paper we investigate linear elastic systems with damping in Hilbert spaces, where A and B ars unbounded positive definite linear operators. We have obtained the most fundamental results for the holomorphic property and exponential stability of the semigroups associated with these systems via inclusion relation of the domains of A and B. 展开更多
关键词 Th SOME PROBLEMS FOR LINEAR ELASTIC SYSTEMS with damping IA BA
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OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING 被引量:1
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作者 罗辉 庄容坤 +3 位作者 郭兴明Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 P.R.China 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第4期441-448,共8页
By the generalized Riccati transformation and the integral averaging technique, some sufficient conditions of oscillation of the solutions for second order nonlinear differential equations with damping were discussed.... By the generalized Riccati transformation and the integral averaging technique, some sufficient conditions of oscillation of the solutions for second order nonlinear differential equations with damping were discussed.Some sufficient oscillation criteria for previous equations were built up.Some oscillation criteria have been expanded and strengthened in some other known results. 展开更多
关键词 second order nonlinear differential equation with damping OSCILLATION Riccati transformation integral averaging technique
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OSCILLATION THEOREMS FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DAMPING
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作者 陈伯山 《Acta Mathematica Scientia》 SCIE CSCD 1991年第4期409-416,共8页
Some new oscillation theorems are established for the second order nonlinear differential equations with damping of the form where p(t) and q(t) are allowed to change sign on [t0,∞).
关键词 OSCILLATION THEOREMS FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS with damping
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New Oscillation Criteria for the Second Order Nonlinear Differential Equations with Damping
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作者 Quanxin Zhang Xia Song Shouhua Liu 《Journal of Applied Mathematics and Physics》 2016年第7期1179-1185,共7页
In this paper, we are concerned with a class of second-order nonlinear differential equations with damping term. By using the generalized Riccati technique and the integral averaging technique of Philos-type, two new ... In this paper, we are concerned with a class of second-order nonlinear differential equations with damping term. By using the generalized Riccati technique and the integral averaging technique of Philos-type, two new oscillation criteria are obtained for every solution of the equations to be oscillatory, which extend and improve some known results in the literature recently. 展开更多
关键词 Oscillation Criterion Differential Equations with damping Integral Averaging Method
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SUPERCONVERGENCE ANALYSIS OF A BDF-GALERKIN FEM FOR THE NONLINEAR KLEIN-GORDON-SCHRODINGER EQUATIONS WITH DAMPING MECHANISM
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作者 Dongyang Shi Houchao Zhang 《Journal of Computational Mathematics》 SCIE CSCD 2023年第2期224-245,共22页
The focus of this paper is on a linearized backward differential formula(BDF)scheme with Galerkin FEM for the nonlinear Klein-Gordon-Schrödinger equations(KGSEs)with damping mechanism.Optimal error estimates and ... The focus of this paper is on a linearized backward differential formula(BDF)scheme with Galerkin FEM for the nonlinear Klein-Gordon-Schrödinger equations(KGSEs)with damping mechanism.Optimal error estimates and superconvergence results are proved without any time-step restriction condition for the proposed scheme.The proof consists of three ingredients.First,a temporal-spatial error splitting argument is employed to bound the numerical solution in certain strong norms.Second,optimal error estimates are derived through a novel splitting technique to deal with the time derivative and some sharp estimates to cope with the nonlinear terms.Third,by virtue of the relationship between the Ritz projection and the interpolation,as well as a so-called"lifting"technique,the superconvergence behavior of order O(h^(2)+τ^(2))in H^(1)-norm for the original variables are deduced.Finally,a numerical experiment is conducted to confirm our theoretical analysis.Here,h is the spatial subdivision parameter,andτis the time step. 展开更多
关键词 KGSEs with damping mechanism Linearized BDF Galerkin FEM Optimal error estimates SUPERCONVERGENCE
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A Difference Scheme with Intrinsic Parallelism for Fractional Diffusion-wave Equation with Damping
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作者 Li-Fei WU Xiao-Zhong YANG Min LI 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2021年第3期602-616,共15页
Anomalous diffusion is a widespread physical phenomenon,and numerical methods of fractional diffusion models are of important scientific significance and engineering application value.For time fractional diffusion-wav... Anomalous diffusion is a widespread physical phenomenon,and numerical methods of fractional diffusion models are of important scientific significance and engineering application value.For time fractional diffusion-wave equation with damping,a difference(ASC-N,alternating segment Crank-Nicolson)scheme with intrinsic parallelism is proposed.Based on alternating technology,the ASC-N scheme is constructed with four kinds of Saul’yev asymmetric schemes and Crank-Nicolson(C-N)scheme.The unconditional stability and convergence are rigorously analyzed.The theoretical analysis and numerical experiments show that the ASC-N scheme is effective for solving time fractional diffusion-wave equation. 展开更多
关键词 time fractional diffusion-wave equation with damping intrinsic parallelism ASC-N scheme stability parallel computing
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Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping
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作者 Minghao Li Zhenzhen Li Dongyang Shi 《Advances in Applied Mathematics and Mechanics》 SCIE 2022年第1期248-274,共27页
In this paper,the transient Navier-Stokes equations with damping are considered.Firstly,the semi-discrete scheme is discussed and optimal error estimates are derived.Secondly,a linearized backward Euler scheme is prop... In this paper,the transient Navier-Stokes equations with damping are considered.Firstly,the semi-discrete scheme is discussed and optimal error estimates are derived.Secondly,a linearized backward Euler scheme is proposed.By the error split technique,the Stokes operator and the H^(-1)-norm estimate,unconditional optimal error estimates for the velocity in the norms L^(∞)(L^(2)) and L^(∞)(H^(1)),and the pressure in the norm L^(∞)(L^(2))are deduced.Finally,two numerical examples are provided to confirm the theoretical analysis. 展开更多
关键词 Navier-Stokes equations with damping linearized backward Euler scheme error splitting technique unconditional optimal error estimates
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A Brief Tour on Exotic Control Objectives in Robotics
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作者 Rafael Kelly Carmen Monroy 《Journal of Mechanics Engineering and Automation》 2018年第2期53-59,共7页
Formulation of control objectives is a key issue in automatic control systems design. Although at first sight the desired goal (control objective) of a control system seems to be a trivial and obvious matter, for... Formulation of control objectives is a key issue in automatic control systems design. Although at first sight the desired goal (control objective) of a control system seems to be a trivial and obvious matter, for effectiveness of some high level robotic tasks, unusual exotic control objectives may be required. This paper presents a review of some exotic control objectives useful in robotics, such as velocity field control objective and range control objective. The paper also proposes a novel confinement control objective. The usefulness of these exotic control objectives may appear in safe robot-human interaction and self-protection of robots against collisions. 展开更多
关键词 Control objective ROBOT robot-human CONFINEMENT range velocity field TEFDA (total energy function with damping assignment) exotic.
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Vehicle sideslip trajectory prediction based on time-series analysis and multi-physical model fusion 被引量:2
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作者 Lipeng Cao Yugong Luo +2 位作者 Yongsheng Wang Jian Chen Yansong He 《Journal of Intelligent and Connected Vehicles》 EI 2023年第3期161-172,共12页
On highways,vehicles that swerve out of their lane due to sideslip can pose a serious threat to the safety of autonomous vehicles.To ensure their safety,predicting the sideslip trajectories of such vehicles is crucial... On highways,vehicles that swerve out of their lane due to sideslip can pose a serious threat to the safety of autonomous vehicles.To ensure their safety,predicting the sideslip trajectories of such vehicles is crucial.However,the scarcity of data on vehicle sideslip scenarios makes it challenging to apply data-driven methods for prediction.Hence,this study uses a physical model-based approach to predict vehicle sideslip trajectories.Nevertheless,the traditional physical model-based method relies on constant input assumption,making its long-term prediction accuracy poor.To address this challenge,this study presents the time-series analysis and interacting multiple model-based(IMM)sideslip trajectory prediction(TSIMMSTP)method,which encompasses time-series analysis and multi-physical model fusion,for the prediction of vehicle sideslip trajectories.Firstly,we use the proposed adaptive quadratic exponential smoothing method with damping(AQESD)in the time-series analysis module to predict the input state sequence required by kinematic models.Then,we employ an IMM approach to fuse the prediction results of various physical models.The implementation of these two methods allows us to significantly enhance the long-term predictive accuracy and reduce the uncertainty of sideslip trajectories.The proposed method is evaluated through numerical simulations in vehicle sideslip scenarios,and the results clearly demonstrate that it improves the long-term prediction accuracy and reduces the uncertainty compared to other model-based methods. 展开更多
关键词 autonomous vehicle sideslip trajectory prediction adaptive quadratic exponential smoothing with damping(AQESD) interacting multiple model(IMM)
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