Partial differential equations play an eminent role in physics, biology, finance, etc. in order to model and predict complex scientific and technical systems involving nonlinear, dissipative and/or dispersive effects. To this end, it is essential to combine modern methods in mathematical, numerical, and stochastic analysis (optimal transport) and to harness recent algorithmic advances. The proposed doctoral school aims to contribute to such an understanding by covering these fields. The research program joins 13 projects which are strongly interrelated by the interplay of dissipative and dispersive phenomena. The doctorate school is intended to join existing strengths of dynamic research groups in Applied Mathematics in Vienna in order to establish an intensive high-profile doctoral training program.
