Global well-posedness of the MHD equations via the comparison principle

Abstract

In this paper, we prove the global well-posedness of the incompressible MHD equations near a homogeneous equilibrium in the domain $R^k\times T^{d-k},d\ge 2,k\ge 1$ by using the comparison principle and constructing the comparison function.

Submit to a special issue in Science China Math

References in corpus (1)

• An elementary proof of the global existence and uniqueness theorem to 2-D incompressible non-resistive MHD system