\(L^q\) estimates of weak solutions to the stationary Stokes equations around a rotating body. (English) Zbl 1184.35241
The author establishes the existence, uniqueness and \(L^q\) estimates of weak solutions to the exterior problem for stationary Stokes equations which describe the fluid motion around a compact rigid body rotating with a prescribed constant angular velocity. The problem is difficult due to the presense of a drift term which cannot be trated as a simple perturbation. The mathematical tools are based on a dyadic decomposition, square function of Littlewood-Paley type, and a maximal function.
Reviewer: Oleg Titow (Berlin)
MSC:
| 35Q30 | Navier-Stokes equations |
| 76D03 | Existence, uniqueness, and regularity theory for incompressible viscous fluids |
| 76D07 | Stokes and related (Oseen, etc.) flows |
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