Regularity of large solutions for the compressible magnetohydrodynamic equations

被引：5

作者：

Liu, Xin ^{[1
]}

Qin, Yuming ^{[2
]}

Peng, Xiaozhen ^{[3
]}

机构：

[1] Donghua Univ, Coll Informat Sci & Technol, Songjiang Shanghai 201620, Peoples R China

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

[3] Songyin Sch, Jinshan Shanghai 201504, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2011年

关键词：

magnetohydrodynamics (MHD); global solutions; regularity; initial-boundary value problem; BOUNDARY-VALUE-PROBLEMS; ONE-DIMENSIONAL EQUATIONS; GLOBAL SOLUTION; CONTINUOUS DEPENDENCE; EXISTENCE; FLUID; MODEL;

D O I：

10.1186/1687-2770-2011-30

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the initial-boundary value problem of one-dimensional compressible magnetohydrodynamics flows. The existence and continuous dependence of global solutions in H (1) have been established in Chen and Wang (Z Angew Math Phys 54, 608-632, 2003). We will obtain the regularity of global solutions under certain assumptions on the initial data by deriving some new a priori estimates.

引用

页码：1 / 17

页数：17

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