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

  • L. E. Payne
  • J. C. Song

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.

Key words. Double Diffusion, Darcy and Brinkman flow, decay estimates, a priori bounds. 

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Copyright information

© Birkhäuser Verlag, Basel, 2000

Authors and Affiliations

  • L. E. Payne
    • 1
  • J. C. Song
    • 2
  1. 1.Department of Mathematics, Cornell University, Ithaca, New York 14853, U.S.A., e-mail: lep8@cornell.eduUS
  2. 2.Department of Mathematics, Hanyang University, Ansan, Kyunggido 425-791, Korea, e-mail: song@lep.hanyang.ac.krKR

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