Large time behavior of the Euler-Poisson system coupled to a magnetic field

被引：0
作者：
Chen, Yingying [1 ]
Huang, Lan [1 ]
Yang, Jianwei [1 ]
机构：
[1] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Henan, Peoples R China
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 05期
基金：
中国国家自然科学基金;
关键词：
stability; asymptotic behavior of solutions; Euler-Poisson system; magnetic field; GLOBAL SMOOTH SOLUTIONS; MULTIDIMENSIONAL HYDRODYNAMIC MODEL; ASYMPTOTIC-BEHAVIOR; EXISTENCE;
D O I：
10.3934/math.2023580
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the large time behavior of globally smooth solutions of the Cauchy problem for the three dimensional Euler-Poisson system of compressible fluids coupled to a magnetic field is studied. We prove that the smooth solutions (near a given constant equilibrium state) of the problem converge asymptotically to a stationary solution exponentially fast as t goes to oo.
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页码：11460 / 11479
页数：20
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