|GEOMETRIC PDE SEMINAR|
|Topic:||Fractional Diffusion Limit for Kinetic Equations|
|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.