A priori estimates of local solutions to compressible Navier-Stokes equations with free boundary

被引：1

作者：

Kong, Huihui ^{[1
]}

Liang, Chuangchuang ^{[2
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 482卷 / 01期

关键词：

Compressible Navier-Stokes; Free boundary; A priori estimates; NONLINEAR ASYMPTOTIC STABILITY; LANE-EMDEN SOLUTIONS; EULER EQUATIONS; VACUUM;

D O I：

10.1016/j.jmaa.2019.123506

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the vacuum free boundary problem of the compressible Navier-Stokes system in two dimension. Under the Lagrangian variables, we present a priori estimates of local-in-time solutions in a proper Sobolev space. (C) 2019 Elsevier Inc. All rights reserved.

引用

页数：24

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