Steiger, Olivier (2006). Navier–Stokes equations with first order boundary conditions. Journal of mathematical fluid mechanics, 8(4):456-481.
On the basis of semigroup and interpolation-extrapolation techniques we derive existence and uniqueness results for the Navier-Stokes equations. In contrast to many other papers devoted to this topic, we do not complement these equations with the classical Dirichlet (no-slip) condition, but instead consider stress-free or slip boundary conditions. We also study various regularity properties of the solutions obtained and provide conditions for global existence
On the basis of semigroup and interpolation-extrapolation techniques we derive existence and uniqueness results for the Navier-Stokes equations. In contrast to many other papers devoted to this topic, we do not complement these equations with the classical Dirichlet (no-slip) condition, but instead consider stress-free or slip boundary conditions. We also study various regularity properties of the solutions obtained and provide conditions for global existence
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | National licences > 142-005 |
| Dewey Decimal Classification: | Unspecified |
| Scopus Subject Areas: | Physical Sciences > Mathematical Physics
Physical Sciences > Condensed Matter Physics Physical Sciences > Computational Mathematics Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 1 December 2006 |
| Deposited On: | 14 Dec 2018 18:07 |
| Last Modified: | 20 Sep 2023 01:41 |
| Publisher: | Springer |
| ISSN: | 1422-6928 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00021-005-0184-4 |
Steiger, Olivier