Abstract for the talk at 11.04.2007 (14:15 h)

Axel Hutt (Humboldt University at Berlin and University of Ottawa, Canada)

Generalization of partial-differential equations and finite propagation speed effects

The talk motivates an integral-differential equation, which generalizes the reaction-diffusion equation, the Swift-Hohenberg equation and the Kuramoto-Sivashinsky equation. In addition, it is shown how this generalization allows for the treatment of finite propagation speeds in these systems. A more detailed discussion of the Cattaneo-equation for diffusion systems illustrates the importance of the proposed equation.