Formation of Singularity for Full Compressible Magnetohydrodynamic Equations with Zero Resistivity in Two Dimensional Bounded Domains

作     者：Xin ZHONG Xin ZHONG

作者机构：School of Mathematics and StatisticsSouthwest UniversityChongqing 400715China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2023年第39卷第4期

页      面：990-1008页

核心收录：

学科分类：07[理学] 080103[工学-流体力学] 08[工学] 070104[理学-应用数学] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：partially supported by National Natural Science Foundation of China(Nos.11901474 12371227) 

主　　题：full compressible magnetohydrodynamic equations zero resistivity formation of singularity 

摘      要：We are concerned with singularity formation of strong solutions to the two-dimensional(2D)full compressible magnetohydrodynamic equations with zero resistivity in a bounded *** energy method and critical Sobolev inequalities of logarithmic type,we show that the strong solution exists globally if the temporal integral of the maximum norm of the deformation tensor is *** result is the same as Ponce’s criterion for 3D incompressible Euler *** particular,it is independent of the magnetic field and ***,the initial vacuum states are allowed.