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.
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页数：24
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