L-infinity continuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivity
L-infinity continuation principle to the non-baratropic non-resistive magnetohydrodynamic equations without heat conductivity
复制标题
无热导率非常变非阻磁流体动力学方程的L-无穷延拓原理
DOI：
10.1002/mma.3860
复制
发表时间：
2016
影响因子：
2.9
通讯作者：
Wang Yun
中科院分区：
文献类型：
--
作者：
Huang Xiangdi;Wang Yun
本文的目的是建立一个连续原理，用于无电阻率和热导率的完全可压缩磁流体动力系统的强解。我们证明，如果解在有限时间内失去规律性，则主导部分是由于双曲效应。更准确地说，它本质上表明，如果密度、温度和磁场受到上面的限制，并且允许存在真空，则全局存在强解。这验证了D.Serre提出的一个问题。版权所有 © 2016 约翰·威利父子有限公司
The aim of this paper is to establish a continuation principle for strong solutions to the full compressible magnetohydrodynamic system without resistivity and heat conductivity. We prove that if the solution loses its regularity in finite time, the dominated part is due to the hyperbolic effect. More precisely, it is essentially shown that the strong solution exists globally if the density, temperature, and magnetic field are bounded from above, where vacuum is allowed to exist. This verifies a problem proposed by D.Serre. Copyright © 2016 John Wiley & Sons, Ltd.