Global well-posedness of strong solution to 2D MHD equations in critical Fourier-Herz spaces

摘要

In this paper, we study the Cauchy problem for the 2D MHD equations in critical Fourier-Herz space F(-1)(1,q)(R-2) boolean AND L-2 (R-2) (q is an element of [1, 2]). Making use of Fourier localization method and Banach fixed point theorem, we established the global wellposedness of a strong solution with any initial data (u(0), b(0)) is an element of F(-1)(1,q)(R-2) boolean AND L-2 (R-2). (C) 2021 Elsevier Inc. All rights reserved.