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Pointwise estimates for Green's kernel of a mixed boundary value problem to the Stokes system in a polyhedral cone

✍ Scribed by V. Maz'ya; J. Rossmann

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
565 KB
Volume
278
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The paper deals with a mixed boundary value problem for the Stokes system in a polyhedral cone. Here different boundary conditions (in particular, Dirichlet, Neumann, free surface conditions) are prescribed on the sides of the polyhedron. The authors obtain regularity results for weak solutions in weighted L ~2~ Sobolev spaces and prove point estimates of Green's matrix. (Β© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

Schauder estimates for solutions to a mi
Schauder estimates for solutions to a mixed boundary value problem for the Stokes system in polyhedral domains
✍ V. G. Maz'ya; J. Rossmann πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 471 KB

## Abstract A mixed boundary value problem for the Stokes system in a polyhedral domain is considered. The authors prove the existence of solutions in weighted and non‐weighted HΓΆlder spaces and obtain regularity results for the solutions. The results are essentially based on estimates of the Green