Tuesday, January 14, 2014, 4:00 p.m., B139 VV  
Jean-Michel Roquejoffre (Toulouse)

Front propagation in the presence of integral diffusion.

Abstract: In many reaction-diffusion equations, where diffusion is
given by a second order elliptic operator, the solutions
will exhibit spatial transitions whose velocity is asymptotically
linear in time.
The situation can be different when the diffusion is of the
integral type, the most basic example being the fractional Laplacian:
the velocity can be time-exponential. We will explain why, and
discuss several situations where this type of fast propagation
occurs.