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- W2093973245 abstract "A magnetohydrodynamic system is investigated in both cases of the periodic domain<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msup><mml:mi mathvariant=double-struck>T</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:mrow></mml:math>and the whole space<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mrow><mml:msup><mml:mi mathvariant=double-struck>R</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:mrow></mml:math>. Existence and uniqueness of strong solution are proved. Asymptotic behavior of the solution when the Rossby number<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>ε</mml:mi></mml:math>goes to zero is studied. The proofs use the spectral properties of the penalization operator and involve Friedrich's method, Schochet's methods, and product laws in Sobolev spaces of sufficiently large exponents." @default.
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- W2093973245 title "Convergence results for MHD system" @default.
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