✦ LIBER ✦
Nonlinear artificial boundary conditions with pointwise error estimates for the exterior three dimensional Navier–Stokes problem
✍ Scribed by Sergej A. Nazarov; Maria Specovius–Neugebauer
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 282 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
On a three–dimensional exterior domain Ω we consider the Dirichlet problem for the stationary Navier–Stokes system. We construct an approximation problem on the domain Ω~R~, which is the intersection of Ω with a sufficiently large ball, while we create nonlinear, but local artificial boundary conditions on the truncation boundary. We prove existence and uniqueness of the solutions to the approximating problem together with asymptotically precise pointwise error estimates as R tends to infinity.