Reaction-diffusion and Free Boundary Problems (06w5045)

Objectives

The goal of the workshop is to present a state of the art of current research in the theory of reaction-diffusion equations, with general broadly-orientated lectures, more specialized shorter talks and a lot of time for interaction between participants.

The main purpose of this workshop is to bring together the leading researchers in various areas of this field as well as applied mathematicians to highlight the recent developments and discuss the open problems that are of interest both from a mathematical perspective and from the point of view of applications. We also very much hope to generate interaction between researchers in various sub-fields as many similar issues arise in seemingly very different problems in the area. As discussed above, some of the topics will include: reaction-diffusion problems in combustion, coupling of hydrodynamical equations to reaction-diffusion equations; stochastic homogenization of reaction-diffusion and Hamilton-Jacobi equations; dynamics of interfaces; biological applications; Ginzburg-Landau equations; recent progress in the proof of the Di Giorgi conjecture.

The format of the conference will consist of five two-hour morning lectures that will give the state of the art overview of the field. These lectures will be given by worldwide experts and they will present some of the general mathematical methods which proved useful in different types of reaction-diffusion equations. The afternoon sessions will consist of shorter and more specialized talks by participants outlining their current research. This will
leave plenty of time and opportunity for discussions.