Local well-posedness of the three dimensional compressible Euler-Poisson equations with physical vacuum

被引：34
作者：
Gu, Xumin [1 ]
Lei, Zhen [2 ,3 ]
机构：
[1] Shanghai Univ Finance & Econ, Dept Math, Shanghai 200433, Peoples R China
[2] Fudan Univ, Sch Math Sci, LMNS, Shanghai 200433, Peoples R China
[3] Fudan Univ, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2016年 / 105卷 / 05期
关键词：
Euler-Poission; Physical vacuum; Well-posedness; Two and three dimensions; FREE-BOUNDARY PROBLEM; WATER-WAVE PROBLEM; NONLINEAR INSTABILITY; GLOBAL-SOLUTIONS; SOBOLEV SPACES; EXISTENCE; MOTION; GAS; STABILITY; BEHAVIOR;
D O I：
10.1016/j.matpur.2015.11.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the three dimensional compressible Euler Poisson equations with moving physical vacuum boundary condition. This fluid system is usually used to describe the motion of a self-gravitating inviscid gaseous star. The local existence of classical solutions for initial data in certain weighted Sobolev spaces is established in the case that the adiabatic index satisfies 1 < gamma < 3. (C) 2015 Elsevier Masson SAS. All rights reserved.
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页码：662 / 723
页数：62
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