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Nonlinear stability of a convective motion in a porous layer driven by a horizontally periodic temperature gradient

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Abstract.

The nonlinear global exponential pointwise stability of a vertical steady flow driven by a horizontal periodic temperature gradient in a porous layer is performed. It is shown that the stability threshold depends on the supremum of a quadratic functional, having non constant coefficients, and new in the literature on the convection problem. In solving the variational problem, a suitable functional transformation is used.

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Authors and Affiliations

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

    F. Capone & S. Rionero

Authors
  1. F. Capone
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  2. S. Rionero
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Correspondence to F. Capone.

Additional information

Communicated by B. Straughan

Received: 27 January 2003, Accepted: 10 March 2003, Published online: 12 September 2003

Correspondence toF. Capone

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Capone, F., Rionero, S. Nonlinear stability of a convective motion in a porous layer driven by a horizontally periodic temperature gradient. Continuum Mech. Thermodyn. 15, 529–538 (2003). https://doi.org/10.1007/s00161-003-0131-7

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  • DOI: https://doi.org/10.1007/s00161-003-0131-7

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