A system modeling fluid motions in horizontal porous layers, uniformly heated and salted from below, is analyzed in the case of variable thermal and solutal diffusivities. The boundedness and uniqueness of solutions are shown. A class of non-constant throughflows is found and their stability is analyzed via a new approach. Conditions of global nonlinear stability, in closed form, are obtained.

Coincidence between linear and global nonlinear stability of non-constant throughflows via the Rionero "Auxiliary System Method"

CAPONE, FLORINDA;DE LUCA, ROBERTA
2014

Abstract

A system modeling fluid motions in horizontal porous layers, uniformly heated and salted from below, is analyzed in the case of variable thermal and solutal diffusivities. The boundedness and uniqueness of solutions are shown. A class of non-constant throughflows is found and their stability is analyzed via a new approach. Conditions of global nonlinear stability, in closed form, are obtained.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/574910
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