Global Classical Solutions for MHD System

被引:31
作者
Casella, Emanuela [1 ]
Secchi, Paolo [1 ]
Trebeschi, Paola [1 ]
机构
[1] Univ Brescia, Fac Ingn, Dipartimento Matemat, I-25133 Brescia, Italy
关键词
Incompressible MHD system; global existence; Holder spaces;
D O I
10.1007/s000210300003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we study the equations of magneto-hydrodynamics for a 2D incompressible ideal fluid in the exterior domain and in the half-plane. We prove the existence of a global classical solution in Holder spaces, by applying Shauder fixed point theorem.
引用
收藏
页码:70 / 91
页数:22
相关论文
共 13 条
[1]  
[Anonymous], GRADUATE STUDIES MAT
[2]  
Evans L.C., 1999, GRADUATE STUDIES MAT, V19
[3]  
Gunter NM., 1967, POTENTIAL THEORY ITS
[4]  
KATO T, 1967, ARCH RATIONAL MECH A, V25, P188, DOI 10.1007/BF00251588
[5]  
Kikuchi Keisuke, 1983, J FAC SCI U TOKYO IA, V30, P63
[6]   WEAK AND CLASSICAL-SOLUTIONS OF THE TWO-DIMENSIONAL MAGNETOHYDRODYNAMIC EQUATIONS [J].
KOZONO, H .
TOHOKU MATHEMATICAL JOURNAL, 1989, 41 (03) :471-488
[7]  
Ladyzhenskaya O. A., 1969, MATH THEORY VISCOUS
[8]  
Ladyzhenskaya OA, 1968, TRANSLATION MATH MON, V23
[9]  
LICHTENSTEIN L, 1968, GRUNDLAGEN HYDROMECH
[10]  
Lions J. L., 1968, Problemes aux limites non homogenes et applications, VII