Coupled generalized nonlinear stokes flow with flow through a porous medium

V. J. Ervin*, E. W. Jenkins, S. Sun

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

113 Scopus citations


In this article, we analyze the flow of a fluid through a coupled Stokes-Darcy domain. The fluid in each domain is non-Newtonian, modeled by the generalized nonlinear Stokes equation in the free flow region and the generalized nonlinear Darcy equation in the porous medium. A flow rate is specified along the inflow portion of the free flow boundary. We show existence and uniqueness of a variational solution to the problem. We propose and analyze an approximation algorithm and establish a priori error estimates for the approximation.

Original languageEnglish (US)
Pages (from-to)929-952
Number of pages24
JournalSIAM Journal on Numerical Analysis
Issue number2
StatePublished - 2009


  • Coupled Stokes and Darcy flow
  • Defective boundary condition
  • Generalized nonlinear stokes flow

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics
  • Numerical Analysis


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