GRK 1128: Analysis, Numerics, and Optimisation of Multiphase Problems II

Systems with multiple phases arise in various scientific fields. Their mathematical modelling, analysis, numerical treatment and optimization requires novel approaches to deal, for example, with nonlocal effects, discontinuities, or varying scales. In contrast to the DFG Research Center "Mathematics for Key Technologies" which is driven by industrial applications, the proposed research training group focuses on the development and teaching of mathematical techniques and algorithms for the treatment of nonlinear partial differential equations and inequalities arising in multiple phase problems. These methods will be further developed by investigating specific applications such as morphological changes during phase transformations, spreading of thin liquid films, multiphase equilibrium of mixed fluids, or subsonic/supersubsonic flight transitions in aerodynamics.