Global existence and exponential stability for the compressible Navier-Stokes equations with discontinuous data

被引：3

作者：

Kong, Huihui ^{[1
]}

Li, Hai-Liang ^{[2
]}

Liang, Chuangchuang ^{[3
]}

Zhang, Guojing ^{[4
]}

机构：

[1] Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China

[2] Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China

[3] Chongqing Univ, Coll Math & Stat, Chongqing 400044, Peoples R China

[4] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年 / 263卷 / 07期

基金：

美国国家科学基金会;

关键词：

Compressible Navier-Stokes equations; Global existence; Large time behavior; Stability; Discontinuous; VISCOUS SURFACE-WAVES; WELL-POSEDNESS; FLOW; TENSION; DECAY;

D O I：

10.1016/j.jde.2017.05.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The initial boundary value problem for the compressible barotropic Navier-Stokes equations is investigated in the case that the initial density has a jump discontinuity across an interior closed curve in two-dimensional bounded domain. If the initial data is a small perturbation of the constant state and the interior closed curve is near a circle inside the domain, the global existence and large time behavior of the piecewise strong solution is shown, in particular, the jump of the fluid density across the convecting curve decays exponentially in time. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：4267 / 4323

页数：57

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