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Instability in Porous Layers with Depth-Dependent Viscosity and Permeability

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Abstract

The paper is concerned with a multicomponent porous horizontal layer L with depth-dependent viscosity and permeability, heated from below and salted partly from below and partly from above. The instability of the thermal conduction solution, due to the growth of the gradient of temperature or of the gradient of chemical species salting L from above, is investigated.

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Acknowledgements

This paper has been performed under the auspices of G.N.F.M. of I.N.D.A.M. and Leverhulm Trust, “Tipping points: mathematics, metaphors and meanings”.

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Authors and Affiliations

  1. Department of Mathematics and Applications ‘R. Caccioppoli’, University of Naples Federico II, Complesso Universitario Monte S. Angelo, Via Cinzia, 80126, Naples, Italy

    Salvatore Rionero

  2. Accademia Nazionale dei Lincei, via della Lungara, 10, 00165, Rome, Italy

    Salvatore Rionero

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  1. Salvatore Rionero
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Correspondence to Salvatore Rionero.

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Rionero, S. Instability in Porous Layers with Depth-Dependent Viscosity and Permeability. Acta Appl Math 132, 493–504 (2014). https://doi.org/10.1007/s10440-014-9922-z

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  • DOI: https://doi.org/10.1007/s10440-014-9922-z

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