Pointwise estimates and Lp convergence rates to diffusion waves for a one-dimensional bipolar hydrodynamic model

被引：6

作者：

Li, Yeping ^{[1
]}

Yang, Xiongfeng ^{[2
,3
]}

机构：

[1] East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China

[3] Shanghai Jiao Tong Univ, Key Lab Sci & Engn Comp MOE, Shanghai 200240, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2019年 / 45卷

基金：

美国国家科学基金会;

关键词：

Bipolar hydrodynamic model; Diffusion wave; Pointwise estimates; Smooth solution; Weighted energy estimates; EULER-POISSON SYSTEM; LARGE TIME BEHAVIOR; HYPERBOLIC CONSERVATION-LAWS; GLOBAL SMOOTH SOLUTIONS; QUASI-NEUTRAL LIMIT; STATIONARY SOLUTIONS; ASYMPTOTIC-BEHAVIOR; 2-CARRIER PLASMAS; SEMICONDUCTORS; RELAXATION;

D O I：

10.1016/j.nonrwa.2018.07.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the stability of the diffusion wave to the one-dimensional hydrodynamic model, which takes the bipolar Euler-Poisson system with relaxation effect. The pointwise estimate of the smooth solutions is obtained by the weighted energy method and the approximate Green function when the initial perturbations are sufficiently small. Based on it, we further achieve the optimal time decay rate of the solutions in L-p(1 <= p <= +infinity). It coincides with the time decay rate of the solution in Gasser et al. (2003). (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：472 / 490

页数：19

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