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 / Mathematische Nachrichten
Pages range:
86-105
Volume number:
252
Start page:
86
End page:
105
ISSN:
0025-584X

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.


Research Areas


Last updated on 2019-01-11 at 16:04