Ultimately boundedness and stability of triply diffusive mixtures in rotating porous layers under the action of Brinkman law

被引:21
作者
Capone, Florinda [1 ]
De Luca, Roberta [1 ]
机构
[1] Univ Naples Federico II, Dept Math & Applicat Renato Caccioppoli, I-80126 Naples, Italy
关键词
Porous media; Global stability; Absorbing sets; MULTICOMPONENT CONVECTION-DIFFUSION; NONLINEAR STABILITY; SUFFICIENT CONDITIONS;
D O I
10.1016/j.ijnonlinmec.2012.03.008
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The long-time behavior of triply fluid mixtures saturating horizontal porous layers uniformly rotating around the vertical axis, according to the Brinkman law (holding for large pores), is investigated. The most destabilizing case of layers heated from below and salted from above by two salts, is considered. The ultimately boundedness of the solutions (existence of absorbing sets) is shown. A necessary and sufficient condition guaranteeing the global non-linear asymptotic L-2-stability of the conduction solution is obtained. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:799 / 805
页数:7
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