A system modeling fluid motions in horizontal porous layers, uniformly heated from below and salted from above by one salt, is analyzed. The definitely boundedness of solutions (existence of absorbing sets) is proved. Necessary and sufficient conditions ensuring the linear stability of a vertical constant throughflow have been obtained, via a new approach. Moreover, conditions guaranteeing the global nonlinear asymptotic stability are determined.
On the stability of vertical constant throughflows for binary mixtures in porous layers / Capone, Florinda; DE CATALDIS, Valentina; DE LUCA, Roberta; Torcicollo, Isabella. - In: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS. - ISSN 0020-7462. - 59:(2014), pp. 1-8. [10.1016/j.ijnonlinmec.2013.10.010]
On the stability of vertical constant throughflows for binary mixtures in porous layers
CAPONE, FLORINDA;DE CATALDIS, VALENTINA;DE LUCA, ROBERTA;TORCICOLLO, ISABELLA
2014
Abstract
A system modeling fluid motions in horizontal porous layers, uniformly heated from below and salted from above by one salt, is analyzed. The definitely boundedness of solutions (existence of absorbing sets) is proved. Necessary and sufficient conditions ensuring the linear stability of a vertical constant throughflow have been obtained, via a new approach. Moreover, conditions guaranteeing the global nonlinear asymptotic stability are determined.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
