Non-linear stability of vertical throughflows in porous layers, uniformly heated and salted from below, is analyzed. The definitively boundedness of the solutions (existence of absorbing sets in the phase space) is proved. Conditions guaranteeing global non-linear asymptotic stability have been found. In closed form, the critical Rayleigh number has been found.

Longtime behavior of vertical throughflows for binary mixtures in porous layers / Capone, Florinda; DE LUCA, Roberta; Torcicollo, Isabella. - In: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. - ISSN 0020-7462. - 52:(2013), pp. 1-7. [10.1016/j.ijnonlinmec.2013.01.008]

Longtime behavior of vertical throughflows for binary mixtures in porous layers

CAPONE, FLORINDA;DE LUCA, ROBERTA;TORCICOLLO, ISABELLA
2013

Abstract

Non-linear stability of vertical throughflows in porous layers, uniformly heated and salted from below, is analyzed. The definitively boundedness of the solutions (existence of absorbing sets in the phase space) is proved. Conditions guaranteeing global non-linear asymptotic stability have been found. In closed form, the critical Rayleigh number has been found.
2013
Longtime behavior of vertical throughflows for binary mixtures in porous layers / Capone, Florinda; DE LUCA, Roberta; Torcicollo, Isabella. - In: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. - ISSN 0020-7462. - 52:(2013), pp. 1-7. [10.1016/j.ijnonlinmec.2013.01.008]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/535653
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