ASYMPTOTIC STABILITY OF STEADY STATE SOLUTIONS FOR THE RELATIVISTIC EULER-POISSON EQUATIONS

被引：3

作者：

Mai, La-Su ^{[1
]}

Zhang, Kaijun ^{[2
]}

机构：

[1] Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China

[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2016年 / 36卷 / 02期

基金：

美国国家科学基金会;

关键词：

Relativistic Euler-Poisson equations; asymptotic stability; steady state solution; global smooth solution; DIMENSIONAL HYDRODYNAMIC MODEL; WEAK SOLUTIONS; SEMICONDUCTORS; RELAXATION; EXISTENCE; BEHAVIOR; LIMIT;

D O I：

10.3934/dcds.2016.36.981

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under the conditions of both the initial data being the small perturbation of given steady state solution and the boundary strength being small, the global existence of smooth solution to the initial boundary value problem of the relativistic Euler-Poisson equations is proved. The convergence of the global smooth solution to smooth steady state solution in time exponentially is also obtained when time goes to infinity.

引用

页码：981 / 1004

页数：24

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