ASYMPTOTICS OF INITIAL BOUNDARY VALUE PROBLEMS OF BIPOLAR HYDRODYNAMIC MODEL FOR SEMICONDUCTORS

导出

摘要 In this paper, we study the asymptotic behavior of the solutions to the bipolar hydrodynamic model with Dirichlet boundary conditions. It is shown that the initial boundary problem of the model admits a global smooth solution which decays to the steady state exponentially fast.

作者 JuQiangchang

机构地区 AcademyofMathematicsandSystemSciences

出处《Journal of Partial Differential Equations》 2004年第1期57-70,共14页 偏微分方程（英文版）

关键词初值问题边值问题双极流体动力学模型半导体全局光滑解

分类号 O351.2 [理学—流体力学] O175.8 [理学—基础数学]

引文网络
相关文献

参考文献8

1Fang, W and Ito, K , Weak solution to a one dimensional hydrodynamic model of two carrier types for semiconductors, Nonlinear Anal, 28(1997), 947-963.
2Natalinil-R The bipolar hydrodynamic model for semiconductors and the drift-diffusion equation, J Math.Anal.Appl., 198(1996), 262-281.
3Hsiao, L & Zhang, K The Global weak solution and relaxation limits of the initial-boundary problem to the bipolar hydrodynamic model for semiconductors, Math.Modling and Methods in Appl. sci., 10(2000), 1331-1361.
4Zhu, C & Hattori H Stability of steady solutions for an isentropic hydrodynamic model of semiconductors of two species, J Diff. Eqns., 166(2000), 1-32.
5Li, H, Markowich, P & Mei, M Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors, Proc. Roy. Soc. Edinburgh Sect., A 2 132(2002), 359-378.
6Majda, A, Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Springer-Verlag, Berlin/New York, 1984.
7Hsiao, L & Luo, T, Nonlinear diffusive phenomena of solutions for the system of compressible adiabatic flow through porous media, J Diff. Eqns., 125(1996), 329-365.
8Hsiao, L & Yang, T Asymptotics of initial boundary value problems for hydrodynamic and drift diffusion models for semiconductors, J Diff. Eqns., 170(2001), 472-493.

1琚强昌.ASYMPTOTIC BEHAVIOR OF GLOBAL SMOOTH SOLUTIONS TO THE EULER—POISSON SYSTEM IN SEMICONDUCTORS[J].Journal of Partial Differential Equations,2002,15(1):89-96.
2LI 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.
3阮立志,朱长江.EXISTENCE OF GLOBAL SMOOTH SOLUTION TO INITIAL BOUNDARY VALUE PROBLEM FOR A VISCOELASTIC MODEL WITH RELAXATION[J].Acta Mathematica Scientia,2004,24(2):265-274. 被引量：2
4YANGXiaozhou,ZHANGTong.Global smooth solution of multi-dimensional non-homogeneous conservation laws[J].Progress in Natural Science:Materials International,2004,14(10):855-862. 被引量：3
5余寒梅,程荣军,葛红霞.General solution of the modified Korteweg-de-Vries equation in the lattice hydrodynamic model[J].Chinese Physics B,2010,19(10):199-203.
6Linghai ZHANG.Solutions to Some Open Problems in Fluid Dynamics[J].Chinese Annals of Mathematics,Series B,2008,29(2):179-198.
7Ying Gu\|liang Department of Mathematics, Xianning Teachers’ College, Xia nning 437005,China.Asymptotic Convergence to Steady-State Solutions for Solutions of the Initial Boundary Problem to a Simplified Hydrodynamic Model for Semiconductor[J].Wuhan University Journal of Natural Sciences,2000,5(3):265-270.
8郭柏灵.INITIAL VALUE PROBLEM AND PERIODIC BOUNDARY PROBLEM FOR SOME SYSTEMS OF MULTI-DIMENSIONAL AND NONLINEAR SCHR(?)DINGER EQUATION OF HIGH ORDER[J].Chinese Science Bulletin,1982,27(9):915-920.
9徐艳玲,蒋咪娜.ASYMPTOTIC STABILITY OF RAREFACTION WAVE FOR GENERALIZED BURGERS EQUATION[J].Acta Mathematica Scientia,2005,25(1):119-129. 被引量：5
10ShangYadong,GuoBoling.THE LARGE TIME ERROR ESTIMATES OF FOURIER SPECTRAL METHOD FOR GENERALIZED BENJAMIN-BONA-MAHONY EQUATIONS[J].Applied Mathematics(A Journal of Chinese Universities),2003,18(1):17-29.

Journal of Partial Differential Equations

2004年第1期

浏览历史

内容加载中请稍等...

ASYMPTOTICS OF INITIAL BOUNDARY VALUE PROBLEMS OF BIPOLAR HYDRODYNAMIC MODEL FOR SEMICONDUCTORS

参考文献8

相关作者

相关机构

相关主题

浏览历史