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The stokes operator with Neumann boundary conditions in Lipschitz domains
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mitrea, Marius Monniaux, Sylvie Wright, Matthew |
| Copyright Year | 2011 |
| Abstract | In the first part of the paper, we give a satisfactory definition of the Stokes operator in Lipschitz domains in $ {\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. |
| Starting Page | 409 |
| Ending Page | 457 |
| Page Count | 49 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10958-011-0400-0 |
| Volume Number | 176 |
| Alternate Webpage(s) | https://www.i2m.univ-amu.fr/perso/sylvie.monniaux/_media/publis:2011jms.pdf |
| Alternate Webpage(s) | http://people.missouristate.edu/mwright/Publications_files/Stokes%20operator%20Neumann.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
