Special Session 27: Recent Trends in Navier-Stokes Equations, Euler Equations, and Related Problems

Time-periodic Stokes- and Navier-Stokes problems in a layer

Maria Specovius-Neugebauer
University of Kassel
Germany
Co-Author(s):    Konstanin Pileckas, Sebastian Rauchhaus
Abstract:
In this talk we present results about existence and spatial asymptotics for solutions to the time-periodic Stokes and Navier-Stokes problem with Dirichlet conditions in a layer. This includes also the case of nonhomogeneous boundary conditions with nonzero flux which is of particular interest if one wants to model real life problems. Moreover, in unbounded domains the knowledge about the general spatial asymptotic behaviour is usually helpful to construct optimal so called artificial boundary conditions. The latter are needed if one wants to approximate the solutions by numerical calculations.