# $L^q$ estimates of weak solutions to the stationary Stokes equations around a rotating body

Preprint Series # 691
Hishida, Toshiaki $L^q$ estimates of weak solutions to the stationary Stokes equations around a rotating body. (2005);

 TeX DVI94Kb

## Abstract

We establish the existence, uniqueness and $L^q$ estimates of weak solutions to the stationary Stokes equations with rotation effect both in the whole space and in exterior domains. The equation arises from the study of viscous incompressible flows around a body that is rotating with a constant angular velocity, and it involves an important drift operator with unbounded variable coefficient that causes some difficulties.

Item Type: Preprint 30 copies Stokes flow, rotating body, exterior domain, $L^q$ estimate 35-xx PARTIAL DIFFERENTIAL EQUATIONS 857