Asymptotic stability of solutions to the nonisentropic hydrodynamic model for semiconductors

Asymptotic stability of solutions to the nonisentropic hydrodynamic model for semiconductors

下载PDF

导出

摘要 In this paper, the asymptotic stability of smooth solutions to the multidimensional nonisentropic hydrodynamic model for semiconductors is established, under the assumption that the initial data are a small perturbation of the stationary solutions for the thermal equilibrium state, whose proofs mainly depend on the basic energy methods. In this paper, the asymptotic stability of smooth solutions to the multidimensional nonisentropic hydrodynamic model for semiconductors is established, under the assumption that the initial data are a small perturbation of the stationary solutions for the thermal equilibrium state, whose proofs mainly depend on the basic energy methods.

作者 XU Jiang FANG Dao-yuan

机构地区 Dept. of Math. Dept. of Math.

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2008年第2期151-167,共17页 高校应用数学学报（英文版）（B辑）

基金 NUAA's Scientific Fund for the Introduction of Qualified Personnel and the National Natural Science Foundation of China(10571158).

关键词 asymptotic stability smooth solutions hydrodynamic model semiconductor. asymptotic stability, smooth solutions, hydrodynamic model, semiconductor.

分类号 O141.4 [理学—基础数学]

引文网络
相关文献

参考文献16

1All G. Global existence of smooth solutions of the N-dimensional Euler-Possion model, SIAM J Math Anal, 2003, 35: 389-422.
2Ali G, Bini D, Nionero R. Global eXistence and relaxation limit for smooth solutions to the Euler-Possion model for semiconductors,SIAM J Math Anal, 2000, 32: 572-587.
3Baccarani G, Wordeman M R. An investigation of steady-state veloclty overshoot effects in Si and GaAs devices, Solid State Electronics, 1985, 28: 407-416.
4Bliotekjeer K. Transport equations for electrons in two-valley semiconductor~ IEEE Transactions on Electron Devices,1970,17: 38-47.
5Chen G Q, Jerome J W, Zhang B. Existence and the singular relaxation limit for the inviscid hydrodynamic energy model, Modeling and Computation for Application in Mathematics, Science, and Engineering (Evanston,IL,1996); 189-215, Numer Math Sci Comput, New York: Oxford Univ Press, 1998.
6Fang D Y, Xu J. Existence and asymptotic behavior of C^1 solutions to the multidimensional compressible Euler equations with damping, Nonlinear Analysis 2007, doi: 10.1016/j.na.2007.11.049.
7Fang D Y, Xu J, Zhang T. Global exponential stability of classical solutions to the hydrodynamic model for semiconductors, Mathematical Models and Methods in Applied Sciences, 2007, 17: 1507-1530.
8Gasser I, Natalini R. The energy transport and the drift-diffusion equations as relaxation limits of the hydrodynamic model for semiconductors, Quarterly of Applied Mathematics, 1999, 57: 269-282.
9Hsiao L, Ju Q C, Wang S. The asymptotic bahavior of global smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors,Mathematical Methods in the Applied Sciences, 2003, 26: 1187-1210.
10Hsiao L, Wang S. Asymptotic behavior of global smooth solutions to the full ID hydrodynamic model for semiconductors, Mathematical Models and Methods in Applied Sciences, 2002, 12: 777-796.

1王昆,金生,刘刚.An Efficient Hydrodynamic Model for Surface Waves[J].China Ocean Engineering,2009,23(1):145-156. 被引量：1
2A.M.A.Abou-El-Ela,A.I.Sadek,A.M.Mahmoud,E.S.Farghaly.STABILITY OF SOLUTIONS FOR CERTAIN THIRD-ORDER NONLINEAR STOCHASTIC DELAY DIFFERENTIAL EQUATIONS[J].Annals of Applied Mathematics,2015,31(3):253-261.
3刘俊,崔萍,荀凤仙.一类非线性动力系统解的研究[J].曲靖师范学院学报,2001,20(3):17-21.
4LI Yeping.Asymptotic Behavior of the Solutions to the One-Dimensional Nonisentropic Hydrodynamic Model for Semiconductors[J].Wuhan University Journal of Natural Sciences,2008,13(2):141-147.
5Zheng Bunan & Chen Wuhua & Luo Guilie(Guangxi Normal University 541004).CONVERGENCE AND STABILITY OF SOLUTIONSOF CERTAIN INFINITE DELAY DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,1996,12(3):362-370.
6Cemil Tun.ON THE INSTABILITY OF SOLUTIONS TO A NONLINEAR VECTOR DIFFERENTIAL EQUATION OF FOURTH ORDER[J].Annals of Differential Equations,2011,27(4):418-421.
7韩金舫,王清印,刘金宪.关于区间矩阵的稳定度[J].河北科技大学学报,2002,23(1):1-4. 被引量：3
8MAO Jianfeng.Weak Solutions of the Isothermal Bipolar Hydrodynamic Model for Semiconductors with Large Data[J].Wuhan University Journal of Natural Sciences,2014,19(1):62-70.
9张书年.STABILITY OF SOLUTIONS OF GENERALIZED LOGISTIC DIFFERENCE EQUATIONS[J].Annals of Differential Equations,1994,10(2):135-142.
10ZHANG Jianlin,QIN Yuming,CAO Jie.Remarks on Exponential Stability of Solutions for the Compressible p-th Power Newtonian Fluid with Large Initial Data[J].Journal of Partial Differential Equations,2016,29(4):286-301.

Applied Mathematics(A Journal of Chinese Universities)

2008年第2期

浏览历史

内容加载中请稍等...

Asymptotic stability of solutions to the nonisentropic hydrodynamic model for semiconductors

参考文献16

相关作者

相关机构

相关主题

浏览历史