Existence of axially symmetric weak solutions to steady MHD with nonhomogeneous boundary conditions (Q346006)

The author studies the steady incompressible magneto-hydrodynamics equations with non-homogeneous boundary conditions in a \(n\)-dimensional axially symmetric domain. By adapting the idea given by \textit{M. V. Korobkov} et al. [Ann. Math. (2) 181, No. 2, 769--807 (2015; Zbl 1318.35065)], the author proves the existence of axially symmetric weak solutions to steady incompressible magneto-hydrodynamics equations with nonhomogeneous boundary conditions.