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Integral representation of a solution to the Stokes-Darcy problem. (English) Zbl 1335.35184
Summary: With methods of potential theory, we develop a representation of a solution of the coupled Stokes-Darcy model in a Lipschitz domain for boundary data in $$H^{-1/2}$$.

##### MSC:
 35Q30 Navier-Stokes equations 76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics 76D07 Stokes and related (Oseen, etc.) flows
##### Keywords:
Stokes-Darcy problem; boundary layer potential
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##### References:
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