Interface boundary value problems of Robin‐transmission type for the Stokes and Brinkman systems on n‐dimensional Lipschitz domains: applications. (20th March 2013)

• Record Type: Journal Article
• Authors: Fericean, Denisa; Groşan, Teodor; Kohr, Mirela; Wendland, Wolfgang L.
• Is Part Of: Mathematical methods in the applied sciences. Volume 36:Number 12(2013:Aug. 15)
• Page Start: 1631
• Page End: 1648
• Publication Date: 2013-03-20
• Subjects: Robin‐transmission problem -- Stokes and Brinkman systems -- layer potential operators -- existence and uniqueness -- Fredholm operators -- Sobolev spaces; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.2716
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : 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 some L p or 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.