\(L^q\) estimates of weak solutions to the stationary Stokes equations around a rotating body (Q2501658)

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.