In this paper, by the Lyapunov direct method, we study the nonlinear Lyapunov stability of the conduction– diffusion solution of the anisotropic magnetic Be´nard problem, for a fully ionized fluid. We show that, if the conduction–diffusion solution is linearly stable, it is asymptotically nonlinearly stable.
ON THE NONLINEAR STABILITY OF THE MHD ANISOTROPIC BENARD PROBLEM
PALESE, Lidia Rosaria R.
2005-01-01
Abstract
In this paper, by the Lyapunov direct method, we study the nonlinear Lyapunov stability of the conduction– diffusion solution of the anisotropic magnetic Be´nard problem, for a fully ionized fluid. We show that, if the conduction–diffusion solution is linearly stable, it is asymptotically nonlinearly stable.File in questo prodotto:
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