Affiliation of Author(s):理学院
Journal:Math Methods Appl Sci
Abstract:The present work is dedicated to the well-posedness issue of strong solutions (away from vacuum) to the compressible viscous magnetohydrodynamic (MHD) system in Rd (d ≥ 2). We aim at extending those results in previous studies to more general Lp critical framework. Precisely, by recasting the whole system in Lagrangian coordinates, we prove the local existence and uniqueness of solutions by means of Banach fixed-point theorem. Furthermore, with the aid of effective velocity, we employ the energy argument to establish global a priori estimates, which lead to the unique global solution near constant equilibrium. Our results hold in case of small data but large highly oscillating initial velocity and magnetic field. © 2019 John Wiley & Sons, Ltd.
ISSN No.:0170-4214
Translation or Not:no
Date of Publication:2019-07-15
Co-author:Shi, Weixuan
Correspondence Author:徐江