Large solutions of the magnetic Bénard problem on the infinite layer

DOI10.1016/S0362-546X(00)00175-9zbMath1007.35068MaRDI QIDQ5958916

Bruno Scarpellini

Publication date: 14 March 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

asymptoticslarge initial dataLjapunov stabilitymagnetic Benard problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Global stability of large solutions to the 3D Navier-Stokes equations
• Stability properties of the Boussinesq equations
• Loss of stability in the magnetic Bénard problem
• Stability of plane-parallel Couette flow
• \({\mathcal L}^ 2\)-perturbations of space-periodic equilibria of Navier-Stokes

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