Coupled Stokes-Darcy Model with Beavers-Joseph Interface Boundary Condition
We investigate the well-posedness of a coupled Stokes-Darcy model with Beavers-Joseph interface boundary conditions. in the steady-state case, the well-posedness is established under the assumption of a small coeffcient in the Beavers-Joseph interface boundary condition. in the time-dependent case, the well-posedness is established via an appropriate time discretization of the problem and a novel scaling of the system under an isotropic media assumption. Such coupled systems are crucial to the study of subsurface flow problems, in particular, flows in karst aquifers. © 2010 International Press.
Y. Cao et al., "Coupled Stokes-Darcy Model with Beavers-Joseph Interface Boundary Condition," Communications in Mathematical Sciences, vol. 8, no. 1, pp. 1 - 25, International Press, Jan 2010.
The definitive version is available at https://doi.org/10.4310/CMS.2010.v8.n1.a2
Mathematics and Statistics
Keywords and Phrases
Beavers-Joseph Interface Boundary Condition; Finite Element Approximation; Fluid and Porous Media Flow; Stokes and Darcy System; Time Discretization; Well-Posedness
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2010