Generalization of partial-differential equations and finite propagation speed effects

  • Axel Hutt (Humboldt University at Berlin and University of Ottawa, Canada)
A3 02 (Seminar room)


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.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail