PDE seminar, April 7th 2016
Thursday 7th EHESS, 190-198 Avenue de France, room 466, 4th floor - 75013 Paris
Propagating terraces: existence and properties
In this talk we will discuss the dynamics of solutions of one-dimensional reaction-diffusion equations when the profile of the propagation is not characterized by a single front, but by a layer of several fronts. This means, intuitively, that transition from one equilibrium to another may occur in several steps, that is successive phases between some intermediate stationary states. To describe such a situation, we will introduce a notion of "propagating terrace". We will provide several existence results in the spatially periodic framework, discuss some of their properties and establish a relation between steepness and speed of solutions. We will also evoke stability issues and some other problems.
In this talk we will discuss the dynamics of solutions of one-dimensional reaction-diffusion equations when the profile of the propagation is not characterized by a single front, but by a layer of several fronts. This means, intuitively, that transition from one equilibrium to another may occur in several steps, that is successive phases between some intermediate stationary states. To describe such a situation, we will introduce a notion of "propagating terrace". We will provide several existence results in the spatially periodic framework, discuss some of their properties and establish a relation between steepness and speed of solutions. We will also evoke stability issues and some other problems.
Poster here