Global existence and exponential stability for a 1D compressible and radiative MHD flow

被引：27

作者：

Qin, Yuming ^{[1
]}

Liu, Xin ^{[2
]}

Yang, Xinguang

机构：

[1] Donghua Univ, Coll Sci, Dept Appl Math, Shanghai 201620, Peoples R China

[2] Shanghai Inst Foreign Trade, Business Informat Management Sch, Shanghai 201620, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年 / 253卷 / 05期

关键词：

Magnetohydrodynamics (MHD); Thermal radiation; Global existence; Exponential stability; BOUNDARY-VALUE-PROBLEMS; ONE-DIMENSIONAL EQUATIONS; MAGNETOHYDRODYNAMIC EQUATIONS; CONTINUOUS DEPENDENCE; REAL-GAS; FLUID; MODEL;

D O I：

10.1016/j.jde.2012.05.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the global existence and exponential stability of solutions in H-+(i) (i = 1,2,4) for one-dimensional compressible and radiative magnetohydrodynamics (MHD) equations in a bounded domain Omega := (0, 1). (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1439 / 1488

页数：50

共 24 条

[1]

[Anonymous], OPER THEORY ADV APPL

[2] 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

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

Chen, GQ ;

Wang, DH .

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

[4]

Ducomet B, 1999, MATH METHOD APPL SCI, V22, P1323, DOI 10.1002/(SICI)1099-1476(199910)22:15<1323::AID-MMA80>3.0.CO

[5]

2-8

[6] The equations of magnetohydrodynamics: On the interaction between matter and radiation in the evolution of gaseous stars [J].

Ducomet, Bernard ;

Feireisl, Eduard .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 266 (03) :595-629

[7]

Fan J., 2005, STABILITY WEAK SOLUT

[8] Vanishing shear viscosity limit in the magnetohydrodynamic equations [J].

Fan, Jishan ;

Jiang, Song ;

Nakamura, Gen .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 270 (03) :691-708

[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] ON INITIAL-BOUNDARY VALUE-PROBLEMS FOR A VISCOUS, HEAT-CONDUCTING, ONE-DIMENSIONAL REAL-GAS [J].

JIANG, S .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1994, 110 (02) :157-181

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