可压缩磁流体方程光滑解的爆破性

数学物理学报 ›› 2016, Vol. 36 ›› Issue (4): 715-721.

可压缩磁流体方程光滑解的爆破性

边东芬¹, 唐童²

1. 北京理工大学数学与统计学院北京 100081;
2. 河海大学理学院南京 210098

收稿日期:2015-10-24 修回日期:2016-04-12 出版日期:2016-08-26 发布日期:2016-08-26
通讯作者: 唐童 E-mail:tt0507010156@126.com
作者简介:边东芬,biandongfen@gmail.com
基金资助:
国家自然科学基金（11501028，11471323，11526073，11271192）、江苏省自然科学基金基金（BK20150794）和中国博士后基金（2015M570939）资助

Blow-Up of Smooth Solutions to the Compressible MHD Equations

Bian Dongfen¹, Tang Tong²

1. School of mathematics and statistics, Beijing Institute of Technology, Beijing 100081;
2. Department of Mathematics, College of Sciences, Hohai University, Nanjing 210098

Received:2015-10-24 Revised:2016-04-12 Online:2016-08-26 Published:2016-08-26
Supported by:
Supported by the NSFC(11501028,11471323,11526073,11271192),the Natural Science Foundation of Jiangsu Province(BK20150794) and China Postdoctoral Foundation Funded Project(2015M570939)

摘要/Abstract

摘要：

在初始密度和磁通量具有紧支集的条件下，该文证明高维可压缩磁流体方程柯西问题光滑解的爆破现象. 其中磁流体方程的黏性系数，热传导系数以及磁扩散系数都是依赖于密度和温度的.

关键词: 爆破, 可压缩磁流体方程

Abstract:

In this paper, we prove the blow-up phenomena of smooth solutions to the Cauchy problem for the full compressible MHD equations in arbitrary dimensions, under the assumption that the initial density and magnetic have compact support. Here the coefficients are generalized to a general case which depend on density and temperature.

Key words: Blow-up, Compressible MHD equations

中图分类号:

O175.2

边东芬, 唐童. 可压缩磁流体方程光滑解的爆破性[J]. 数学物理学报, 2016, 36(4): 715-721.

Bian Dongfen, Tang Tong. Blow-Up of Smooth Solutions to the Compressible MHD Equations[J]. Acta mathematica scientia,Series A, 2016, 36(4): 715-721.

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