Vorträge in der Woche 09.07.2012 bis 15.07.2012

Dienstag, 10.07.2012: Energy Related Results for Wave Equations with Strong Damping

J.A. Goldstein

Freitag, 13.07.2012: Global Wellposedness for Reaction-Diffusion Systems with Boundary Diffusion and Bounded Total Mass

Prof. Dr. G. Goldstein

Reaction-diffusion systems, even simple ones, have been amazingly effective in describing physical phenomena in problems from science and engineering. Some recent applications in chemical engineering required dynamic boundary conditions and diffusion along the spatial boundary. In many of these applications the unknown function represents a mass density for the components, and hence the relevant spaces for the applications are L1 - type spaces. In problems involving dynamic boundary conditions the appropriate L1 - type space is the space X1 introduced by Favini-Goldstein-Goldstein-Romanelli. In this talk we will explain the derivation of the physical problem, its solution in an appropriate space, as well as the mathematical manifestation of the constraints of the physical problem. This problem is of independent mathematical interest since it solves a problem of Agmon, Douglis and Nirenberg from 1959. The work presented is joint with Jerry Goldstein (University of Memphis) and Michel Pierre (Ecole Normale Superieure de Cachan).