The time periodic Stokes system in a layer: asymptotic behavior at infinity

While there are numerous papers on the time decay of solutions to the Stokes and Navier-Stokes initial boundary value in various types of domains only few results are devoted to the spatial decay. In this talk we consider the solutions to the time periodic Stokes problem in a layer where the data are also time periodic and smooth with bounded support for simplicity. The results were obtained in a joint work with Konstantin Pileckas,Vilnius.