Reaction-Diffusion Systems and Coagulation-Fragmentation Models

Prof. Dr. Klemens Fellner

Abstract

Reaction-Diffusion equations constitute an important class of partial differential equations with a wide range of applications in physics, biology, chemistry, ... and famous mathematical phenomena. Coagulation-Fragmentation models (which can be seen as infinite dimensional systems of reaction or reaction-diffusion equations) describe the formation and break-up of clusters/polymers in such diverse areas of applications as chemistry of polymers, blood clotting in biology, formation of aerosols and sprays in physics, development of raindrops and smoke, formation of galaxies in astrophysics etc.

This course aims to give an introduction in the modelling and the mathematical analysis of reaction- diffusion and coagulation-fragmentation models.

An outline in key words reads as: motivation and modelling, local-in-time existence theory, regularity of solutions, global-in-time solutions, qualitative behaviour of solutions, pattern formation and Turing instability, coagulation processes, gelation phenomena, large-time behaviour, entropy methods, duality methods, ...

Date and Place

• 23.11.2012: 09:30 - 12:00, TUM MW 2501 (Maschinenwesen)
• 26.11.2012: 09:30 - 12:00, TUM MI 03.04.011
• 27.11.2012: 09:30 - 12:00, TUM MW 2501 (Maschinenwesen)
• 28.11.2012: 09:30 - 12:00, TUM MW 2701m (Maschinenwesen)
• 29.11.2012: 09:30 - 12:00, TUM MW 2701m (Maschinenwesen)