%0 Generic %A Michel, Eberhard J. %D 2008 %F heidok:8576 %K Partial Differential Equations , Nonlinear Partial Differential Equations , Navier-Stokes Equations , Weak Solutions , Multiphase Fluid %R 10.11588/heidok.00008576 %T On the motion of rigid bodies submerged in incompressible fluids %U https://archiv.ub.uni-heidelberg.de/volltextserver/8576/ %X Understanding the interaction of fluids and solids poses many unsolved and even unchallenged questions. Here, the motion of an arbitrary number of bodies is considered, which are immersed in an arbitrary incompressible Fluid in three-dimensional space (particulate flows and thick suspensions). This work considers the following questions in three dimensions: - How can the transport of many submerged bodies within an incompressible viscous fluid be modeled most efficiently? - How can realistic collisions be incorporated into a model, and what happens during a collision? - How can a particular velocity field and the associated transport of the bodies be constructed?