On the stability of vertical constant throughflows for binary mixtures in porous layers |
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| Institution: | 1. Department of Mathematics and Applications ‘R. Caccioppoli’, University of Naples Federico II, Complesso Universitario Monte S. Angelo, Via Cinzia, 80126 Naples, Italy;2. Istituto per le Applicazioni del Calcolo “M. Picone”, C.N.R., Via P. Castellino 111, 80131 Naples, Italy;1. Department of Industrial Engineering, Alma Mater Studiorum Università di Bologna, Viale Risorgimento 2, 40136 Bologna, Italy;2. Department of Mathematics, University of Agder, Postboks 422, 4604 Kristiansand, Norway |
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| 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 non-linear asymptotic stability are determined. |
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| Keywords: | Porous media Convection Vertical throughflows Stability Routh–Hurwitz conditions |
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