TIME PERIODIC SOLUTIONS OF NON-ISENTROPIC COMPRESSIBLE MAGNETOHYDRODYNAMIC SYSTEM

被引：0

作者：

Xu, Qiuju ^{[1
]}

Cai, Hong ^{[1
]}

Tan, Zhong ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2015年 / 35卷 / 01期

基金：

中国国家自然科学基金;

关键词：

non-isentropic compressible magnetohydrodynamic system; time periodic solution; optimal time decay rates; energy estimates; CLASSICAL-SOLUTIONS; BOLTZMANN-EQUATION; CONVERGENCE-RATES; GLOBAL-SOLUTIONS; EXISTENCE;

D O I：

10.1016/S0252-9602(14)60153-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the non-isentropic compressible magnetohydrodynamic system with a time periodic external force in Under the condition that the optimal time decay rates are obtained by spectral analysis, we show that the existence, uniqueness and time-asymptotic stability of time periodic solutions when the space dimension n >= 5. Our proof is based on a combination of the energy method and the contraction mapping theorem.

引用

页码：216 / 234

页数：19

共 26 条

[1] Existence and continuous dependence of large solutions for the magnetohydrodynamic equations [J].

Chen, GQ ;

Wang, DH .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2003, 54 (04) :608-632

[2] Global solutions of nonlinear magnetohydrodynamics with large initial data [J].

Chen, GQ ;

Wang, DH .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 182 (02) :344-376

[3] Global existence and convergence rates of smooth solutions for the compressible magnetohydrodynamic equations [J].

Chen, Qing ;

Tan, Zhong .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (12) :4438-4451

[4]

Chen Z Z, 2012, MATH PHYS

[5] Optimal decay estimates on the linearized boltzmann equation with time dependent force and their applications [J].

Duan, Renjun ;

Ukai, Seiji ;

Yang, Tong ;

Zhao, Huijiang .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 277 (01) :189-236

[6] Optimal convergence rates for the compressible Navier-Stokes equations with potential forces [J].

Duan, Renjun ;

Ukai, Seiji ;

Yang, Tong ;

Zhao, Huijiang .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2007, 17 (05) :737-758

[7] Global variational solutions to the compressible magnetohydrodynamic equations [J].

Fan, Jishan ;

Yu, Wanghui .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) :3637-3660

[8] Strong solution to the compressible magnetohydrodynamic equations with vacuum [J].

Fan, Jishan ;

Yu, Wanghui .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (01) :392-409

[9] Uniqueness and continuous dependence of weak solutions in compressible magnetohydrodynamics [J].

Hoff, D ;

Tsyganov, E .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2005, 56 (05) :791-804

[10] Global solutions to the three-dimensional full compressible magnetohydrodynamic flows [J].

Hu, Xianpeng ;

Wang, Dehua .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 283 (01) :255-284

← 1 2 3 →