Kolloquien und Oberseminare Übersicht Detail

Speaker:
Dr. Björn Augner (Technische Universität Darmstadt)

This event is part of an event series „Oberseminar Partielle Differentialgleichungen“.

Abstract: Reaction-diffusion systems with coupling between a bulk phase (chemical reactor) and its surface (heterogeneouscatalysator) play an important role in chemical engineering, and constitute an interesting and challenging topic for mathematical analysis. The dynamics of such heterogeneous catalysis systems are governed by several chemical-physical processes in the bulk and on the surface. Typically, these processes take place on different timescales, e.g. fast chemical reactions on the surface. In this talk, we address several classes of PDE and PDE-ODE systems arising from different formal limits. For a particular model case, we outline the mathematical analysis, e.g. local-in-time well-posedness, regularity theory, positive invariance and global-in-time existence of solutions.