LOCAL CAUCHY PROBLEM FOR THE MHD EQUATIONS WITH MASS DIFFUSION

被引:0
作者
Fan, Jishan [1 ]
Ozawa, Tohru [2 ]
机构
[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China
[2] Waseda Univ, Dept Appl Phys, Tokyo 1698555, Japan
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper studies the Cauchy problem for the MHD equations with mass diffusion in a bounded domain in R(3). We use Tikhonov's fixed-point theorem to prove the existence and uniqueness of local solutions.
引用
收藏
页码:1037 / 1046
页数:10
相关论文
共 12 条
  • [1] Abidi H, 2008, P ROY SOC EDINB A, V138, P447
  • [2] Long time behaviour of the solutions to the Navier-Stokes equations with diffusion
    DaVeiga, HB
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 27 (11) : 1229 - 1239
  • [3] Desjardins B., 1998, Differ. Integral Equ., V11, P377
  • [4] Frank-Kamenetskii D. A., 1969, DIFFUSION HEAT TRANS
  • [5] GERBEAU J., 1997, Adv. Differential Equations, V2, P427
  • [6] Kazhikhov V.A., 1977, DOKL AKAD NAUK SSSR, V234, P330
  • [7] Novotny A., 2004, Introduction to the mathematical theory of compressible flow, of oxford lecture
  • [8] Salvi R., 2008, BANACH CTR PUBLICA 2, V81, P383
  • [9] Secchi P., 1982, BOLL UNIONE MAT ITAL, V1, P1117
  • [10] Temam R., 1977, Theory and Numerical Analysis, Studies in Mathematics and its Applications, V2