\(L^r\)-results of the stationary Navier-Stokes flows around a rotating obstacle. (English) Zbl 1527.35210
The author investigates a three-dimensional Navier-Stokes system corresponding to an incompressible flow moving past a body which rotates at a constant velocity. The author generalizes several regularity and existence results which so far have only been known in the non-rotating case.
This constant rotation introduces additional mathematical complications. The authors deals with this by a cutoff-trick decomposing the problem into one on a compact domain containing the rotating body and a problem on the whole space.
This constant rotation introduces additional mathematical complications. The authors deals with this by a cutoff-trick decomposing the problem into one on a compact domain containing the rotating body and a problem on the whole space.
Reviewer: Matthias Täufer (Hagen)
MSC:
| 35Q30 | Navier-Stokes equations |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 76D07 | Stokes and related (Oseen, etc.) flows |
| 76U05 | General theory of rotating fluids |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 35D35 | Strong solutions to PDEs |
| 35D30 | Weak solutions to PDEs |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A02 | Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness |
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