Interface boundary value problems of Robin‐transmission type for the Stokes and Brinkman systems onn‐dimensional Lipschitz domains: applications
Denisa Fericean, Teodor Groșan, Mirela Kohr, Wolfgang L. Wendland · Mathematical Methods in the Applied Sciences · 2013
In this paper, we describe a layer potential analysis in order to show an existence result for an interface boundary value problem of Robin‐transmission type for the Stokes and Brinkman systems on Lipschitz domains in Euclidean setting, when the given boundary data belong to someLpor Sobolev spaces associated to such domains. Applications related to an exterior three‐dimensional Stokes flow past two concentric porous spheres with stress jump conditions on the fluid‐porous interface are also considered. Copyright © 2013 John Wiley & Sons, Ltd.