Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations

被引：10

作者：

Gui, Guilong ^{[1
]}

Wang, Chao ^{[2
]}

Wang, Yuxi ^{[2
]}

机构：

[1] Northwest Univ, Sch Math, Ctr Nonlinear Studies, Xian 710069, Shaanxi, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 58卷 / 05期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

35K65; 35R35; 76N10; GLOBAL WEAK SOLUTIONS; EULER EQUATIONS; SMOOTH SOLUTIONS; EXISTENCE; BEHAVIOR; VISCOSITY; CONVERGENCE; SYMMETRY; DENSITY; FLUIDS;

D O I：

10.1007/s00526-019-1608-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the 3-D motion of viscous gas with the vacuum free boundary. We use the conormal derivative to establish local well-posedness of this system. One of important advantages in the paper is that we do not need any strong compatibility conditions on the initial data in terms of the acceleration.

引用

页数：35

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