Continuum Mechanics and Thermodynamics

, Volume 9, Issue 3, pp 175–190 | Cite as

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

  • L.E. Payne
  • J.C. Song
Original Article

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.


Porous Medium Decay Estimate Spatial Decay Type Decay Homogeneous Initial 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • L.E. Payne
    • 1
  • J.C. Song
    • 2
  1. 1. Department of Mathematics, Cornell University, Ithaca, N.Y. 14853 US
  2. 2. Department of Mathematics, Hanyang University, Ansan, Kyunggido, 425-791, Korea KR

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