Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
M3 - 2134
Klemens Fellner
Institute for Mathematics and Scientific Computing
University of Graz
Entropy- and Duality Methods for Reaction-Diffusion Systems
The talk presents recent advances in the existence theory (weak and classical) and the large time-behaviour of systems of nonlinear reaction-diffusion equations.
We shall first present how a careful analysis of a suitable dual problem allows to deduce, for instance, for quadratic non-linear reversible reaction-diffusion systems, global weak and classical solutions depending on the space dimension.
Moreover, we shall apply the so called entropy-method in order to prove exponential convergence to equilibrium with explicitly computable rates. Here, the key estimate is an entropy entropy-dissipation estimate, which bounds the entropy dissipation functional below in terms of the relative entropy with respect to the equilibrium.
Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
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