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.