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Global strong solutions of the 2D density-dependent incompressible magnetic Bénard problem. (English) Zbl 1464.35175

Summary: In this paper, we prove global existence of strong solutions to the 2D density-dependent incompressible magnetic Bénard problem in a bounded domain.

MSC:

35Q30 Navier-Stokes equations
35Q35 PDEs in connection with fluid mechanics
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
76R10 Free convection
76W05 Magnetohydrodynamics and electrohydrodynamics
35D35 Strong solutions to PDEs
35A01 Existence problems for PDEs: global existence, local existence, non-existence
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