The Oseen–Navier–Stokes flow in the exterior of a rotating obstacle: The non-autonomous case
-
Tobias Hansel
and
Abdelaziz Rhandi
Abstract
Consider the incompressible Navier–Stokes flow past a rotating obstacle with
a general time-dependent angular velocity and a time-dependent
outflow condition at infinity – sometimes called an Oseen condition. By a suitable change
of coordinates the problem is transformed to a non-autonomous problem with unbounded drift terms
on a fixed exterior domain
Funding source: DFG International Research Training Group 1529 on Mathematical Fluid Dynamics at TU Darmstadt
The authors are grateful to the anonymous referee for valuable comments. The first author wishes to thank the University of Salerno for the support during his one week visit.
© 2014 by De Gruyter
Articles in the same Issue
- Frontmatter
- The Oseen–Navier–Stokes flow in the exterior of a rotating obstacle: The non-autonomous case
- Macdonald formula for curves with planar singularities
- Geometry of orbit spaces of proper Lie groupoids
- Lefschetz trace formula for open adic spaces
- Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory
- Almost harmonic Maass forms and Kac–Wakimoto characters
- Optimal isoperimetric inequalities for complete proper minimal submanifolds in hyperbolic space
- Unique Cartan decomposition for II1 factors arising from arbitrary actions of hyperbolic groups
- Addendum: Hybrid bounds for twisted L-functions
Articles in the same Issue
- Frontmatter
- The Oseen–Navier–Stokes flow in the exterior of a rotating obstacle: The non-autonomous case
- Macdonald formula for curves with planar singularities
- Geometry of orbit spaces of proper Lie groupoids
- Lefschetz trace formula for open adic spaces
- Finite decomposition complexity and the integral Novikov conjecture for higher algebraic K-theory
- Almost harmonic Maass forms and Kac–Wakimoto characters
- Optimal isoperimetric inequalities for complete proper minimal submanifolds in hyperbolic space
- Unique Cartan decomposition for II1 factors arising from arbitrary actions of hyperbolic groups
- Addendum: Hybrid bounds for twisted L-functions
