Navier-Stokes Equations in Irregular Domains

Download or read book Navier-Stokes Equations in Irregular Domains written by L. Stupelis and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analytical basis of Navier-Stokes Equations in Irregular Domains is formed by coercive estimates, which enable proofs to be given of the solvability of the boundary value problems for Stokes and Navier-Stokes equations in weighted Sobolev and Hölder spaces, and the investigation of the smoothness of their solutions. This allows one to deal with the special problems that arise in the presence of edges or angular points in the plane case, at the boundary or noncompact boundaries. Such problems cannot be dealt with in any of the usual ways. Audience: Graduate students, research mathematicians and hydromechanicians whose work involves functional analysis and its applications to Navier-Stokes equations.