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.
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页码：327 / 336
页数：10
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