## Abstract 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 (weig
Schauder estimates for solutions to a mixed boundary value problem for the Stokes system in polyhedral domains
β Scribed by V. G. Maz'ya; J. Rossmann
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 471 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.695
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β¦ Synopsis
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 nonβweighted HΓΆlder spaces and obtain regularity results for the solutions. The results are essentially based on estimates of the Green's matrix. Copyright Β© 2006 John Wiley & Sons, Ltd.
π SIMILAR VOLUMES
## Abstract The authors prove a maximum modulus estimate for solutions of the stationary NavierβStokes system in bounded domains of polyhedral type (Β© 2009 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
## Abstract In this paper we consider a resolvent problem of the Stokes operator with some boundary condition in the half space, which is obtained as a model problem arising in evolution free boundary problems for viscous, incompressible fluid flow. We show standard resolvent estimates in the __L~q