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Spatial decay estimates for the Brinkman and Darcy flows in a semi-infinite cylinder
Authors:L.E. Payne  J.C. Song
Affiliation:(1) Department of Mathematics, Cornell University, Ithaca, N.Y. 14853 , US;(2) Department of Mathematics, Hanyang University, Ansan, Kyunggido, 425-791, Korea , KR
Abstract: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. Received: February 1, 1997
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