%0 Book Section %1 Specovius-Neugebauer1998 %A Specovius-Neugebauer, Maria %B Navier-Stokes equations and related nonlinear problems. Proceedings of the 6th international conference NSEC-6, Palanga, Lithuania, May 22-29, 1997. %C Utrecht %D 1998 %E Amann, H. et al. %I VSP %K Dirichlet Stokes error estimates estimates} exterior for problem solutions; system; the {uniform %P 349-369 %T Artificial boundary conditions for two-dimensional exterior Stokes problems. %X Summary: We consider a family of boundary value problems for the two-dimensional Stokes system on bounded domains $Ømega_R=Ømega\cap G_R$. Here $Ømega$ is a domain with a compact complement and $G_R$ a bounded domain which blows up as $R\toınfty$ and contains the boundary of $Ømega$ in its interior. The main results are uniform estimates for the solutions on $Ømega_R$, where the dependence on the parameter $R$ is calculated explicitly. The result is applied to approximate solutions to the exterior Dirichlet problem for the Stokes system by solutions on the bounded domains $Ømega_R$. Asymptotically precise error estimates are derived.

@incollection{Specovius-Neugebauer1998, abstract = {{Summary: We consider a family of boundary value problems for the two-dimensional Stokes system on bounded domains $\Omega_R=\Omega\cap G_R$. Here $\Omega$ is a domain with a compact complement and $G_R$ a bounded domain which blows up as $R\to\infty$ and contains the boundary of $\Omega$ in its interior. The main results are uniform estimates for the solutions on $\Omega_R$, where the dependence on the parameter $R$ is calculated explicitly. The result is applied to approximate solutions to the exterior Dirichlet problem for the Stokes system by solutions on the bounded domains $\Omega_R$. Asymptotically precise error estimates are derived.}}, added-at = {2013-09-30T13:38:10.000+0200}, address = {Utrecht}, author = {Specovius-Neugebauer, Maria}, biburl = {https://www.bibsonomy.org/bibtex/297400d7b634a7378624e48b15f6cde4a/specovius}, booktitle = {Navier-Stokes equations and related nonlinear problems. Proceedings of the 6th international conference NSEC-6, Palanga, Lithuania, May 22-29, 1997.}, classmath = {{*35Q35 Other equations arising in fluid mechanics 76D07 Stokes flows 35B30 Dependence of solutions of PDE on initial and boundary data}}, editor = {Amann, H. et al.}, interhash = {835277f0fc5df652b5648552f1d4a0d4}, intrahash = {97400d7b634a7378624e48b15f6cde4a}, keywords = {Dirichlet Stokes error estimates estimates} exterior for problem solutions; system; the {uniform}, language = {English}, owner = {maria}, pages = {349-369}, publisher = {VSP}, timestamp = {2013-09-30T13:38:10.000+0200}, title = {Artificial boundary conditions for two-dimensional exterior Stokes problems.}, year = 1998 }