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Nonhomogeneous boundary value problems for stationary navier-stokes equations in a multiply connected bounded domain
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kozono, Hideo Yanagisawa, Taku |
| Copyright Year | 2009 |
| Abstract | We consider the stationary Navier-Stokes equations on a multiply connected bounded domainin R n for n D 2; 3 under nonhomogeneous boundary conditions. We present a new sufficient condition for the existence of weak solutions. This condition is a variational estimate described in terms of the harmonic part of solenoidal extensions of the given boundary data; we prove it by using the Helmholtz-Weyl decomposition of vector fields over satisfying adequate boundary conditions. We also study the validity of Leray's inequality for various assumptions about the symmetry of . |
| Starting Page | 127 |
| Ending Page | 150 |
| Page Count | 24 |
| File Format | PDF HTM / HTML |
| DOI | 10.2140/pjm.2009.243.127 |
| Volume Number | 243 |
| Alternate Webpage(s) | https://msp.org/pjm/2009/243-1/pjm-v243-n1-p04-s.pdf |
| Alternate Webpage(s) | https://msp.org/pjm/2009/243-1/pjm-v243-n1-p04-p.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
