We consider a GALERKM scheme for the two-dimensional initial boundary-value problem (P) of the NAVIER-STOKES equations, derive a priori-estimates for the approximations in interpolation spaces between "standard spaces'' as occuring in the theory of weak solutions and obtain well-posedness of (P) wit
The boundary value problems of the Stokes resolvent equations in n dimensions
β Scribed by Werner Varnhorn
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 241 KB
- Volume
- 269-270
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
Abstract
We construct a solution for the boundary value problems of the Stokes resolvent system in bounded and exterior domains of β^n^ (n β₯ 2) with prescribed Dirichletβ and Neumann boundary data. The construction is based on the explicit form of the corresponding fundamental and double layer tensor and uses hydrodynamical potential theory and the method of integral equations. (Β© 2004 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
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