International Research Training Group 1529 - Mathematical Fluid Dynamics

Flows past rotating obstacles and their boundary layers

The Navier-Stokes flow past rotating obstacles have been studied intensively during the last years, especially in Darmstadt and Tokyo. Obviously, a deeper mathematical understanding of the effect of rotating obstacles to the velocity of the fluid will have significant impact to problems from applied sciences. As example we mention the orientation of particles in viscous liquids, such as design of molding equipment and separation of macromolecules by electrophoresis.

Up to now, the key point of the mathematical investigation was the understanding of the Stokes operator being perturbed by gradient terms with unbounded coefficients. In this part of the IRTG 1529 we intend to extend the existing theory of fluid flow past moving or rotating particles towards outer forces, outflow conditions, optimal control, Non-Newtonian fluids and multiple obstacles.