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Incompressible limit for the full magnetohydrodynamics flows under strong stratification. (English) Zbl 1229.35210
Summary: We consider the magnetohydrodynamics flows giving rise to a variety of mathematical problems in many areas. We study the incompressible limit problems for magnetohydrodynamics flows under strong stratification.
MSC:
35Q35PDEs in connection with fluid mechanics
76W05Magnetohydrodynamics and electrohydrodynamics
78A25General electromagnetic theory
80A20Heat and mass transfer, heat flow
35A15Variational methods (PDE)
References:
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[12]Antonin Novotny, Michael Ruzicka, Gudrun Thater, Rigorous derivation of the anelastic approximation to the Oberbeck-Boussinesq equations, Asymptot. Anal., in press.
[13]Novotny, Antonin; Ruzicka, Michael; Thater, Gudrun: Singular limit of the equations of magnetohydrodynamics in the presence of strong stratification, Math. models methods appl. Sci. 21, 115-147 (2011)