A class of global large, smooth solutions for the magnetohydrodynamics with the Hall and ion-slip effects

Abstract

In this paper, the Cauchy's problem for fractional MHD system with the Hall and ion-slip effects is considered. By exploring the structure of semilinear and quasilinear terms, we prove the global existence of solutions for a class of large initial data. Both the velocity and magnetic fields could be arbitrarily large in $H^3({\mathbb{R}}^3)$.

Welcome all comments. arXiv admin note: text overlap with arXiv:1903.03212

References in corpus (1)

• Global smooth solutions of the 3D Hall-magnetohydrodynamic equations with large data