Instability Phenomena in Asymptotic Models in Fluid Dynamics

The objective of the network project on instability phenomena in asymptotic models in fluid dynamics lies in building bridges between communities working on thin-film equations on the one hand and water-wave model equations on the other hand. The underlying models are the Navier–Stokes system, respectively the Euler equations. As asymptotic limits of those, the topics of the network program range from the study of thin-film flows in various geometries, such as inclined planes or rotating cylinders, to water waves in the ocean. It is the purpose of this scientific network to tackle these questions within a cooperation of experts and young scientists from four involved institutions at the universities of Bonn (Germany), Lund (Sweden), Saarbrücken (Germany), and Stuttgart (Germany).