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

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• 作者：Florinda Capone ; ^{fcapone@unina.it} ; Roberta De Luca ^{roberta.deluca@unina.it}
• 关键词：Porous media ; Global stability ; Absorbing sets
• 刊名：International Journal of Non-Linear Mechanics
• 出版年：2012
• 期刊代码：87_00207462
• 类别：et
• 出版时间：September, 2012
• 卷：47
• 期：7
• 页码：799-805
• 文件大小：195 K

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 -stability of the conduction solution is obtained.