$L^q$ 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); AbstractWe 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 

Additional Information:  30 copies 

Uncontrolled Keywords:  Stokes flow, rotating body, exterior domain, $L^q$ estimate 

Subjects:  35xx PARTIAL DIFFERENTIAL EQUATIONS 

ID Code:  857 

