A Class of Large Solutions to the 3D Incompressible MHD and Euler Equations with Damping  

作　　者：Yi ZHOU Yi ZHU 

机构地区：[1]School of Mathematical Sciences, Fudan University

出　　处：《Acta Mathematica Sinica,English Series》2018年第1期63-78,共16页数学学报（英文版）

基　　金：Supported by Key Laboratory of Mathematics for Nonlinear Sciences(Fudan University);Ministry of Education of China,P.R.China,Shanghai Key Laboratory for Contemporary Applied Mathematics;School of Mathematical Sciences,Fudan University,P.R.China,NSFC(Grant No.11421061);973 Program(Grant No.2013CB834100);111 project

摘　　要：In this paper, we derive the global existence of smooth solutions of the 3D incompressible Euler equations with damping for a class of large initial data, whose Sobolev norms H8 can be arbitrarily large for any s ≥0. The approach is through studying the quantity representing the difference between the vortieity and velocity. And also, we construct a family of large solutions for MHD equations with damping.In this paper, we derive the global existence of smooth solutions of the 3D incompressible Euler equations with damping for a class of large initial data, whose Sobolev norms H8 can be arbitrarily large for any s ≥0. The approach is through studying the quantity representing the difference between the vortieity and velocity. And also, we construct a family of large solutions for MHD equations with damping.

关 键 词：Large solutions euler equations MHD equations DAMPING 

分 类 号：O1[理学—数学]