On a problem for the Navier–Stokes equations with the infinite Dirichlet integral
✍ Scribed by Piotr B. Mucha
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 187 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0044-2275
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📜 SIMILAR VOLUMES
## Communicated by A. Kirsch The Dirichlet problem for the Stokes equations is studied in a planar domain. We construct a solution of this problem in form of appropriate potentials and determine the unknown source densities via integral equation systems on the boundary of the domain. The solution
We consider a mixed boundary problem for the Navier-Stokes equations in a bounded Lipschitz two-dimensional domain: we assign a Dirichlet condition on the curve portion of the boundary and a slip zero condition on its straight portion. We prove that the problem has a solution provided the boundary d