The stokes operator with Neumann boundary conditions in Lipschitz domains |
| |
Authors: | M Mitrea S Monniaux M Wright |
| |
Institution: | 1.University of Missouri,Columbia,USA;2.Université Paul Cézanne,Marseille,France;3.Missouri State University,Springfield,USA |
| |
Abstract: | In the first part of the paper, we give a satisfactory definition of the Stokes operator in Lipschitz domains in
\mathbbRn {\mathbb{R}^n} when boundary conditions of Neumann type are considered. We then proceed to establish optimal global Sobolev regularity results
for vector fields in the domains of fractional powers of this Neumann–Stokes operator. Finally, we study the existence, regularity,
and uniqueness of mild solutions of the Navier–Stokes system with Neumann boundary conditions. Bibliography: 43 titles. Illustrations:
2 figures. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|