Two-dimensional subsonic flows with self-gravitation in bounded domain

被引：16

作者：

Bae, Myoungjean ^{[1
]}

Duan, Ben ^{[2
,3
]}

Xie, Chunjing ^{[4
,5
]}

机构：

[1] POSTECH, Dept Math, Pohang, Gyungbuk, South Korea

[2] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[3] Univ Mannheim, Sch Business Informat & Math, D-68161 Mannheim, Germany

[4] Shanghai Jiao Tong Univ, Dept Math, Inst Nat Sci, Minist Educ,Key Lab Sci & Engn Comp, Shanghai 200030, Peoples R China

[5] Shanghai Jiao Tong Univ, SHL MAC, Shanghai 200030, Peoples R China

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2015年 / 25卷 / 14期

基金：

新加坡国家研究基金会;

关键词：

Euler-Poisson system; subsonic flow; gravitational; stream function; existence; stability; elliptic system; C-1; C-alpha regularity; Lipschitz boundary; STABILITY; EXISTENCE; EQUATIONS; STARS;

D O I：

10.1142/S0218202515500591

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate two-dimensional steady Euler-Poisson system which describes the motion of compressible self-gravitating flows. The unique existence and stability of subsonic flows in a duct of finite length are obtained when prescribing the entropy at the entrance and the pressure at the exit. After introducing the stream function, the Euler-Poisson system can be decomposed into several transport equations and a second-order nonlinear elliptic system. We discover an energy estimate for the associated elliptic system which is a key ingredient to prove the unique existence and stability of subsonic flow.

引用

页码：2721 / 2747

页数：27

共 27 条

[1]

[Anonymous], 1997, COURANT LECT NOTES M

[2]

Ascher U., 1991, MATH MODEL METHODS A, V1, P347, DOI [10.1142/S0218202591000174, DOI 10.1142/S0218202591000174]

[3]

Bae M., ARCH RATION IN PRESS

[4] SUBSONIC SOLUTIONS FOR STEADY EULER-POISSON SYSTEM IN TWO-DIMENSIONAL NOZZLES [J].