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Spatial decay estimates for the Brinkman and Darcy flows in a semi-infinite cylinder

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The flow of a fluid through a porous medium is often modeled by the Brinkman or the Darcy system. In this paper we investigate Saint-Venant type decay of solutions for both systems when the medium is confined to a semi-infinite cylinder and appropriate homogeneous initial and boundary values are assumed.

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Authors and Affiliations

  1. Department of Mathematics, Cornell University, Ithaca, N.Y. 14853 , , , , , , US

    L.E. Payne

  2. Department of Mathematics, Hanyang University, Ansan, Kyunggido, 425-791, Korea , , , , , , 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 1, 1997

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Payne, L., Song, J. Spatial decay estimates for the Brinkman and Darcy flows in a semi-infinite cylinder. Continuum Mech Thermodyn 9, 175–190 (1997). https://doi.org/10.1007/s001610050064

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  • DOI: https://doi.org/10.1007/s001610050064

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