The instationary Stokes equations in weighted Bessel-potential spaces
✍ Scribed by Katrin Schumacher
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 400 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1424-3199
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📜 SIMILAR VOLUMES
## Abstract ## SUMMARY The main objective of this paper is to propose two vorticity–vector potential formulations of the Stokes problem in the half space of ℝ^3^. Weighted spaces are used for describing the behaviour at large distances. ## RÉSUMÉ On propose deux formulations de type vorticité–po
We extend here some existence and uniqueness results for the exterior Stokes problem in weighted Sobolev spaces. We also study the regularity of the solutions (u, ) and prove optimal a priori estimates for the solutions with u, 3¸N. The in#uence of some compatibility conditions on the behaviour at i