Lp estimates of solutions to mixed boundary value problems for the Stokes system in polyhedral domains
2007 (English)In: Mathematische Nachrichten, ISSN 0025-584X, E-ISSN 1522-2616, Vol. 280, no 7, 751-793 p.Article in journal (Refereed) Published
A mixed boundary value problem for the Stokes system in a polyhedral domain is considered. Here different boundary conditions (in particular, Dirichlet, Neumann, free surface conditions) are prescribed on the faces of the polyhedron. The authors prove the existence of solutions in (weighted and non-weighted) Lp Sobolev spaces and obtain regularity assertions for weak solutions. The results are based on point estimates of Green's matrix.
Place, publisher, year, edition, pages
2007. Vol. 280, no 7, 751-793 p.
IdentifiersURN: urn:nbn:se:liu:diva-40059DOI: 10.1002/mana.200610513Local ID: 52202OAI: oai:DiVA.org:liu-40059DiVA: diva2:260908