Very weak solutions to the stationary Stokes and Stokes resolvent problem in weighted function spaces
✍ Scribed by Katrin Schumacher
- Book ID
- 107392611
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- German
- Weight
- 265 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0430-3202
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📜 SIMILAR VOLUMES
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
## Abstract The problem of strong solvability of the nonstationary Navier‐Stokes equations is considered in weighted __L^q^__‐spaces __L^q^~ω~__(Ω), where the domain Ω ⊂ ℝ^__n__^ is the half space ℝ^__n__^~+~ or a bounded domain with boundary of class __C__^1,1^ and the weight __ω__ belongs to the
## Abstract In this paper we derive a mixed variational formulation for the exterior Stokes problem in terms of the vorticity and stream function, or the vector potential in three dimensions. The main steps are the construction of the stream function (or vector potential) and the proof of the Babuš