Conferences
29 June–4 July 2014, Vancouver, Canada
Entropy Methods, PDEs, Functional Inequalities, and Applications
From the current state of the art, we expect that the following emerging topics will play an important role in the scientific program of the workshop:
- generalizations of the entropy method to systems of evolution equations, especially in connection with cross-diffusion models in biology;
- entropy-based techniques to capture blow-up phenomena in mean-field equations with non-local interactions;
- evolution equations whose qualitative behaviour is related to the interplay between two different Lyapunov functionals, like in the success story of the Keller-Segel model;
- unifying approaches that foster the links between e.g.\ gradient flow structures and the theory of large deviations or concentration of measure, which are expected to have a significant impact on the foundation of the entropy method;
- discrete entropy methods, which is a novel line of research with some striking first results and many open problems, and with possible applications in numerical analysis.
