Key Laboratory of Computing and Stochastic Mathematics (Ministry of Education)

Global existence and uniqueness of weak solutions for the MHD equations with large L3-initial values

This paper is concerned with the weak solution theory for the MHD system with large 𝐿 3 -initial data. Due to the fact that the natural boundary condition on the magnetic field H is the slip boundary condition, the Leray-Schauder fixed-point theorem, which have used to investigat...