The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors

被引：91

作者：

Hsiao, L

Markowich, PA

Wang, S

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China

[2] Univ Vienna, Math Inst, A-1090 Vienna, Austria

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2003年 / 192卷 / 01期

关键词：

multidimensional hydrodynamic model; semiconductors; asymptotic behavior; globally smooth solution;

D O I：

10.1016/S0022-0396(03)00063-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the asymptotic behavior of globally smooth solutions of the Cauchy problem for the multidimensional isentropic hydrodynamic model for semiconductors in R-d. We prove that smooth solutions (close to equilibrium) of the problem converge to a stationary solution exponentially fast as t--> + infinity. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：111 / 133

页数：23

共 23 条

[1] [Anonymous], COMPRESSIBLE FLUID F
[2] Convergence of shock capturing schemes for the compressible Euler-Poisson equations
Chen, GQ
Wang, D
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 179 (02) : 333 - 364
[3] CHEN GQ, 1996, NUMER MATH SCI COMPU, P189
[4] Degond P., 1990, APPL MATH LETT, V3, P25, DOI DOI 10.1016/0893-9659(90)90130-4
[5] DEGOND P, 1993, ANN MAT PUR APPL, V4, P87
[6] Critical thresholds in Euler-Poisson equations
Engelberg, S
Liu, HL
Tadmor, E
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2001, 50 : 109 - 157
[7] GAMBA IM, 1992, COMMUN PART DIFF EQ, V17, P553
[8] Smooth irrotational flows in the large to the Euler-Poisson system in R3+1
Guo, Y
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1998, 195 (02) : 249 - 265
[9] The relaxation of the hydrodynamic model for semiconductors to the drift-diffusion equations
Hsiao, L
Zhang, KJ
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 165 (02) : 315 - 354
[10] Nonlinear diffusive phenomena of solutions for the system of compressible adiabatic flow through porous media
Hsiao, L
Luo, T
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 125 (02) : 329 - 365

← 1 2 3 →