Journal article
Nonlinear artificial boundary conditions with pointwise error estimates for the exterior three dimensional Navier-Stokes problem
Publication Details
Authors: | Nazarov, S.; Specovius-Neugebauer, M. |
Publication year: | 2003 |
Journal: | Mathematical News |
Pages range : | 86-105 |
Volume number: | 252 |
Start page: | 86 |
End page: | 105 |
ISSN: | 0025-584X |
eISSN: | 1522-2616 |
DOI-Link der Erstveröffentlichung: |
Abstract
On a three-dimensional exterior domain Omega we consider the Dirichlet problem for the stationary Navier-Stokes system. We construct an approximation problem on the domain Omega(R), which is the intersection of Omega 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.
On a three-dimensional exterior domain Omega we consider the Dirichlet problem for the stationary Navier-Stokes system. We construct an approximation problem on the domain Omega(R), which is the intersection of Omega 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.
