可压缩磁流体方程组的显式爆破解

J4 ›› 2012, Vol. 47 ›› Issue (2): 26-30.

可压缩磁流体方程组的显式爆破解

宋丹丹,原保全*

河南理工大学数学与信息科学学院, 河南焦作 454000

收稿日期:2011-05-24 出版日期:2012-02-20 发布日期:2012-12-24
通讯作者: 原保全(1965- ),男,博士,教授,研究方向为应用偏微分方程. Email: bqyuan@hpu.edu.cn
作者简介:宋丹丹(1987- ),女,硕士研究生,研究方向为应用偏微分方程. Email: songdandan02@163.com
基金资助:
国家自然科学基金资助项目(11071057); 河南省杰出青年计划基金资助项目(104100510015); 河南省科技创新人才计划基金资助项目(2009HASTIT007);河南理工大学博士基金资助项目(B2008-62)

Explicit blow-up solutions for compressible magneto-hydrodynamic equations

SONG Dan-dan, YUAN Bao-quan*

School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, Henan, China

Received:2011-05-24 Online:2012-02-20 Published:2012-12-24

摘要/Abstract

摘要：

通过解常微分方程组构造了N维可压缩磁流体方程组的若干分离变量形式的显式爆破解。

关键词: 可压缩磁流体方程组;分离变量;显式爆破解

Abstract:

A family of explicit blow-up solutions in the form of separate variables to the N-dimensional magneto-hydrodynamic equations are constructed by solving ordinary differential equations.

Key words: compressible magneto-hydrodynamic equations; separate variatiable; explicit blow-up solutions

宋丹丹,原保全*. 可压缩磁流体方程组的显式爆破解[J]. J4, 2012, 47(2): 26-30.

SONG Dan-dan, YUAN Bao-quan*. Explicit blow-up solutions for compressible magneto-hydrodynamic equations[J]. J4, 2012, 47(2): 26-30.

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