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In this paper, we study the inhomogeneous boundary value problem for the steady MHD system of a viscous incompressible fluid in an arbitrary bounded multiply connected domain. We prove the existence of generalized solutions of the steady MHD system with some smallness conditions on the boundary values.
Acta Applicandae Mathematicae – Springer Journals
Published: Oct 1, 2021
Keywords: Steady MHD; Inhomogeneous boundary condition; Existence; 76D03; 35D30; 35J25
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