Well‐Posedness and Analyticity of Solutions to the Stationary MHD Equations

ABSTRACT We consider the stationary problem of the MHD equations in . The aim of this article is to show existence, uniqueness, regularity, and analyticity of solutions in the scaling invariant homogeneous Besov space for and . In particular, for analyticity, we make a use of a technique so‐called parameter trick. Such a trick is known as an elegant method to prove space–time analyticity of solutions to semilinear or quasilinear parabolic equations. It is clarified that the method of the parameter trick is also useful to the nonlinear elliptic equations such as MHD system.