Global symmetric solutions for a multi-dimensional compressible viscous gas with radiation in exterior domains

被引：4
|
作者：
Wan, Ling [1 ]
Wu, Lin-Xia [2 ]
机构：
[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Viscous gas with radiation; Spherical and cylindrical symmetry; Asymptotic stability; Large initial data; Unbounded domains; LARGE-TIME BEHAVIOR; POLYTROPIC IDEAL-GAS; ASYMPTOTIC STABILITY; RAREFACTION WAVE; CONTACT DISCONTINUITY; EQUATIONS; LIMIT; MODEL;
D O I：
10.1007/s00033-019-1171-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the study of the initial-boundary value problem for a multi-dimensional compressible Navier-Stokes-Poisson coupled system that describes the motion of a viscous gas with radiation, in the domain exterior to a ball of Rd. By means of nonlinear energy method, we show the global-in-time existence and asymptotic stability of the spherically and cylindrically symmetric solutions for large initial data, provided that the adiabatic exponent gamma is sufficiently close to 1.
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页数：22
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