Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows

被引：316
|
作者：
Hu, Xianpeng [1 ]
Wang, Dehua [1 ]
机构：
[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2010年 / 197卷 / 01期
基金：
美国国家科学基金会;
关键词：
NAVIER-STOKES EQUATIONS; ONE-DIMENSIONAL EQUATIONS; MULTIDIMENSIONAL FLOWS; CONTINUOUS DEPENDENCE; INITIAL DATA; FLUIDS;
D O I：
10.1007/s00205-010-0295-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The three-dimensional equations of compressible magnetohydrodynamic isentropic flows are considered. An initial-boundary value problem is studied in a bounded domain with large data. The existence and large-time behavior of global weak solutions are established through a three-level approximation, energy estimates, and weak convergence for the adiabatic exponent gamma > 3/2 and constant viscosity coefficients.
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页码：203 / 238
页数：36
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