The Stokes and Navier–Stokes Equations in Exterior Domains

Download or read book The Stokes and Navier–Stokes Equations in Exterior Domains written by David Wegmann and published by Logos Verlag Berlin GmbH. This book was released on 2019-02-27 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first part of this thesis we established a maximal regularity result to the Stokes equations in exterior domains with moving boundary. This leads to existence of solutions to the Navier–Stokes equations globally in time for small data. Secondly, we consider Leray's problem on the decay of weak solutions to the Navier–Stokes equations in an exterior domain with non-homogeneous Dirichlet boundary data. It is shown that the solution decays polynomially.