2-维磁流体方程组整体经典解(英文)

Global Classical Solutions of the Equations of Two-di mensional Magnetohydrodynamics Flow

利用分析技巧得到磁流体力学方程组新的对称形式.在此基础上,在初始密度趋于真空状态假设下,利用处理双曲方程组的方法证明了经典解的局部存在性,进而得到了经典解的整体存在性.

A new symmetric form of the equations of MHD transverse flow（MHDTF） is presented. On the basis, the local existence of smooth solution in the case where the initial density tends to vacuum state is obtained by using of treatment technique for hyperbolic equations. Furthermore,the global smooth solutions for a kind of initial data are obtained.