Global existence of solutions to 1-d Euler equations with time-dependent damping

被引：51

作者：

Pan, Xinghong ^{[1
,2
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[2] Nanjing Univ, IMS, Nanjing 210093, Jiangsu, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2016年 / 132卷

关键词：

Euler equation; Global existence; Time-dependent damping; NONLINEAR DIFFUSION WAVES; HYPERBOLIC CONSERVATION-LAWS; CONVERGENCE; SYSTEM; DISSIPATION;

D O I：

10.1016/j.na.2015.11.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the 1-d isentropic Euler equations with time-dependent damping. Our damping decays at a speed of order -1 with respect to time which is a little weaker than the linear one. Under our assumption, we will prove the global existence of solutions to the Euler system and obtain L-2 and L-infinity estimates for the solutions. Our approach is based on some detailed energy estimates. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：327 / 336

页数：10

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