Fractional Diffusion Limit for Kinetic Equations

GEOMETRIC PDE SEMINAR
Topic:Fractional Diffusion Limit for Kinetic Equations
Speaker:Antoine Mellet
Affiliation:University of Maryland
Date:Tuesday, January 20
Time/Room:2:00pm - 3:00pm/S-101

We will discuss diffusion limits for linear Boltzmann equations. When the equilibrium distribution function is a Maxwellian distribution, it is well known that for an appropriate time scale, the small mean free path limit gives rise to a diffusion equation. We will show that when the equilibrium distribution function is a heavy-tailed distribution, then an appropriate time scale leads to a fractional diffusion equation.