L^q estimates of weak solutions to the stationary Stokes equations around a rotating body
We establish the existence, uniqueness and <i>L</i><sup><i>q</i></sup> 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.
- Journal of the Mathematical Society of Japan
Journal of the Mathematical Society of Japan 58(3), 743-767, 2006-07-01
The Mathematical Society of Japan