Energy Equality and Uniqueness of Weak Solutions to MHD Equations in L~∞(O,T;L^n(Ω))

作     者：Yan YONG Quan Sen JIU 

作者机构：Institute of Applied Mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 P. R. China School of Mathematical Sciences Capital Normal University Beijing 100037 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2009年第25卷第5期

页      面：803-814页

核心收录：

学科分类：080702[工学-热能工程] 08[工学] 0807[工学-动力工程及工程热物理] 082701[工学-核能科学与工程] 0827[工学-核科学与技术] 

基　　金：supported by NSF of China (Grant Nos. 10431060 & 10771177) 

主　　题：MHD equations weak solutions energy equality uniqueness 

摘      要：In this paper, we study the energy equality and the uniqueness of weak solutions to the MHD equations in the critical space L∞（0, T; L^n（Ω）. We prove that if the velocity u belongs to the critical space L∞（0, T; L^n（Ω）, the energy equality holds. On the basis of the energy equality, we further prove that the weak solution to the MHD equations is unique.