Structural stability of non-isentropic Euler-Poisson system for gaseous stars

被引：1

作者：

Duan, Ben ^{[1
]}

Luo, Zhen ^{[2
]}

Wang, Chunpeng ^{[1
]}

机构：

[1] Jilin Univ, Sch Math, Changchun, Peoples R China

[2] Xiamen Univ, Sch Math Sci, Xiamen, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2025年 / 417卷

基金：

中国国家自然科学基金;

关键词：

Euler-Poisson system; Subsonic flow; Non-isentropic; Self-gravitation; ROTATING AXISYMMETRICAL SOLUTIONS; NONLINEAR STABILITY; STEADY-STATES; EQUATIONS; EXISTENCE;

D O I：

10.1016/j.jde.2024.11.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper concerns the non-isentropic steady compressible Euler-Poisson system in annuluses, which models the motion of gaseous stars with the gravitational interactions between gas particles and pressure forces. In the paper, the Euler-Poisson system is reformulated and decomposed into transport equations and coupled second-order nonlinear elliptic equations in polar coordinates. Not only the existence and the uniqueness, but also the structural stability of subsonic solutions are established. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

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收藏

页码：105 / 131

页数：27

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