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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Colloquium
Antoine Mellet
University of Maryland
Title: Anomalous diffusion phenomena: A kinetic approach

Abstract: The derivation of diffusion or drift-diffusion equations from transport equations (such as Vlasov-Fokker-Planck or Boltzmann equations) is a classical problem. In this talk, we will discuss situations in which the usual derivation fails because the mean squared displacement of a particle does not grow linearly with time. We will show that such "anomalous diffusion" regimes typically lead to fractional diffusion equations. We will present in particular an application of this approach to the description of anomalous energy transport in FPU chains.

Recording: http://mm.math.cmu.edu/recordings/cna/AntoineMellet_small.mp4
Date: Tuesday, April 12, 2016
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  Ian Tice