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

页码：1775 / 1807

页数：33

共 50 条

[1] Nonexistence of multi-dimensional solitary waves for the Euler-Poisson system
Bae, Junsik
Kawagoe, Daisuke
[J]. PHYSICA D-NONLINEAR PHENOMENA, 2024, 470
[2] EXISTENCE AND SOME LIMIT ANALYSIS OF STATIONARY SOLUTIONS FOR A MULTI-DIMENSIONAL BIPOLAR EULER-POISSON SYSTEM
Li, Ye-Ping
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2011, 16 (01): : 345 - 360
[3] Pointwise estimates of solutions for the multi-dimensional bipolar Euler-Poisson system
Wu, Zhigang
Li, Yeping
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2016, 67 (03):
[4] Stability for solutions of a stationary Euler-Poisson problem
Ambroso, Annalisa
[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2006, 16 (11): : 1817 - 1837
[5] A HALF-SPACE PROBLEM ON THE FULL EULER-POISSON SYSTEM
Duan, Renjun
Yin, Haiyan
Zhu, Changjiang
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 53 (05) : 6094 - 6121
[6] Stability of planar diffusion wave for the three dimensional full bipolar Euler-Poisson system
Li, Yeping
Lu, Li
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2019, 356 : 392 - 410
[7] Linear Stability of Solitary Waves for the Isothermal Euler-Poisson System
Bae, Junsik
Kwon, Bongsuk
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 243 (01) : 257 - 327
[8] CRITICAL THRESHOLDS IN MULTI-DIMENSIONAL EULER-POISSON EQUATIONS WITH RADIAL SYMMETRY
Wei, Dongming
Tadmor, Eitan
Bae, Hantaek
[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2012, 10 (01) : 75 - 86
[9] Quasi-neutral limit for the full Euler-Poisson system in one-dimensional space
Zhang, Shihao
Wang, Lusheng
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2024, 75
[10] Asymptotic stability of a stationary solution for the bipolar full Euler-Poisson equation in a bounded domain
Li, Yeping
Xu, Rui
Yin, Rong
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 64

← 1 2 3 4 5 →