Longtime behavior of vertical throughflows for binary mixtures in porous layers

被引：20
作者：
Capone, Florinda [1 ]
De Luca, Roberta [1 ]
Torcicollo, Isabella [2 ]
机构：
[1] Univ Naples Federico II, Dept Math & Applicat Renato Caccioppoli, I-80126 Naples, Italy
[2] CNR, Ist Applicaz Calcolo M Picone, Sez Napoli, I-80131 Naples, Italy
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2013年 / 52卷
关键词：
Porous media; Vertical throughflows; Global non-linear stability; Absorbing set; INCLINED TEMPERATURE-GRADIENT; DOUBLE-DIFFUSIVE CONVECTION; NONLINEAR STABILITY; GLOBAL STABILITY; INSTABILITY; FLUID; MEDIA; DYNAMICS; ONSET;
D O I：
10.1016/j.ijnonlinmec.2013.01.008
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
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. (C) 2013 Elsevier Ltd. All rights reserved.
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页码：1 / 7
页数：7
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