false 2010-03-10 16:15 17:00 http://www.mat.univie.ac.at Universität Wien, Fakultät für Mathematik AT Wien C 209, UZA 4 Nordbergstr. 15 Abstract: The entropy method for a dissipative PDE aims to derive functional inequalities, which quantify the decay rate of an entropy functional in terms of the relative entropy with respect to an entropy minimising equilibrium state. These functional inequalities are neither directly linked to the PDE nor based on linearisation, which makes the entropy method a robust, purely non-linear approach in order to obtain a-priori bounds and explicit rate estimates on the large time behaviour. While the entropy methods has been well established previously for dissipative scalar equations, we will present an overview over the first results for systems, namely reversible reaction-diffusion systems and inhomogeneous coagulation-fragmentation models. We shall discuss how the entropy methods yields a-priori bounds, explicit rates of convergence to equilibrium, and how it can be used in scaling limits. Fellner Klemens false