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：
中国国家自然科学基金; 中国博士后科学基金;
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.
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页数：35
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