STABILITY OF STATIONARY WAVES FOR FULL EULER-POISSON SYSTEM IN MULTI-DIMENSIONAL SPACE

被引：6
|
作者：
Mei, Ming [1 ,2 ]
Wang, Yong [3 ]
机构：
[1] Champlain Coll St Lambert, Dept Math, Quebec City, PQ J4P 3P2, Canada
[2] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada
[3] Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2012年 / 11卷 / 05期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Euler-Poisson system; nonisentropic unipolar hydrodynamic model; semiconductor devices; stationary waves; stability; convergence rates; LARGE TIME BEHAVIOR; DIMENSIONAL HYDRODYNAMIC MODEL; NONLINEAR DIFFUSION WAVES; GLOBAL SMOOTH SOLUTIONS; STEADY-STATE SOLUTIONS; HYPERBOLIC P-SYSTEM; ASYMPTOTIC-BEHAVIOR; RELAXATION LIMIT; WEAK SOLUTIONS; SEMICONDUCTORS;
D O I：
10.3934/cpaa.2012.11.1775
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the nonisentropic unipolar hydrodynamic model of semiconductors in the form of multi-dimensional full Euler-Poisson system. By heuristically analyzing the exact gaps between the original solutions and the stationary waves at far fields, we ingeniously construct some correction functions to delete these gaps, and then prove the L-infinity-stability of stationary waves with an exponential decay rate in 1-D case. Furthermore, based on the 1-D convergence result, we show the stability of planar stationary waves with also some exponential decay rate in m-D case.
引用
收藏
页码：1775 / 1807
页数：33
相关论文
共 50 条
12345