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
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2012年 / 47卷 / 07期
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
相关论文
共 28 条
[1]  
[Anonymous], ATTI ACCADEMIA SFMN
[2]   On the instability of double diffusive convection in porous media under boundary data periodic in space [J].
Capone, F ;
Rionero, S .
Trends and Applications of Mathematics to Mechanics, 2005, :1-8
[3]   Penetrative convection in anisotropic porous media with variable permeability [J].
Capone, F. ;
Gentile, M. ;
Hill, A. A. .
ACTA MECHANICA, 2011, 216 (1-4) :49-58
[4]   Double-diffusive penetrative convection simulated via internal heating in an anisotropic porous layer with throughflow [J].
Capone, F. ;
Gentile, M. ;
Hill, A. A. .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2011, 54 (7-8) :1622-1626
[5]   PENETRATIVE CONVECTION IN ANISOTROPIC POROUS MEDIA WITH VARIABLE PERMEABILITY [J].
Capone, F. ;
Gentile, M. ;
Hill, Antony A. .
WASCOM 2009: 15TH CONFERENCE ON WAVES AND STABILITY IN CONTINUOUS MEDIA, 2010, :58-62
[6]   Penetrative convection via internal heating in anisotropic porous media [J].
Capone, F. ;
Gentile, M. ;
Hill, A. A. .
MECHANICS RESEARCH COMMUNICATIONS, 2010, 37 (05) :441-444
[7]  
Capone F., 2010, P WASCOM 2009 15 C W, V63-67
[8]  
Capone F., 2001, RICHERCHE MATEMATICA, V49, P193
[9]  
Capone F., 1998, REND CIRC MAT PALE S, V2, P97
[10]   Anisotropy and symmetry in porous media convection [J].
Capone, Florinda ;
Gentile, M. ;
Hill, A. A. .
ACTA MECHANICA, 2009, 208 (3-4) :205-214
123