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Spatial decay for a model of double diffusive convection in Darcy and Brinkman flows

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Abstract.

A fluid which contains a solute is assumed to flow through a semi-infinite pipe. We study the problem of double diffusive convection for steady state Brinkman and Darcy flows using a model of Straughan and Hutter [14]. Under appropriate hypotheses we establish the exponential decay of solutions.

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Authors and Affiliations

  1. Department of Mathematics, Cornell University, Ithaca, New York 14853, U.S.A., e-mail: lep8@cornell.edu, , , , , , US

    L. E. Payne

  2. Department of Mathematics, Hanyang University, Ansan, Kyunggido 425-791, Korea, e-mail: song@lep.hanyang.ac.kr, , , , , , KR

    J. C. Song

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  1. L. E. Payne
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  2. J. C. Song
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Received: February 15, 1999; revised: July 1, 1999

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Payne, L., Song, J. Spatial decay for a model of double diffusive convection in Darcy and Brinkman flows. Z. angew. Math. Phys. 51, 867–889 (2000). https://doi.org/10.1007/PL00001527

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  • DOI: https://doi.org/10.1007/PL00001527

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