Aufsatz in einer Fachzeitschrift
Nonlinear artificial boundary conditions with pointwise error estimates for the exterior three dimensional Navier-Stokes problem



Details zur Publikation
Autor(inn)en:
Nazarov, S.; Specovius-Neugebauer, M.
Publikationsjahr:
2003
Zeitschrift:
Mathematical News / Mathematische Nachrichten
Seitenbereich:
86-105
Jahrgang/Band:
252
Erste Seite:
86
Letzte Seite:
105
ISSN:
0025-584X

Zusammenfassung, 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.


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Zuletzt aktualisiert 2019-01-11 um 16:04