A tutti gli interessati.
Mercoledì 9 luglio 2014 alle ore 14.30 in AULA C (Palazzo Campana - Dip. di Matematica"G. Peano" - Univ. di Torino) il Prof. François Delarue (Université Nice Sophia-Antipolis) terrà un seminario dal titolo:
The Landau Equation for Maxwellian molecules and the Brownian Motion on the group of rotations.
Abstract: We show that the spatially homogeneous Landau equation for Maxwellian molecules can be represented through the product of two elementary stochastic processes. The first one is the Brownian motion on the group of rotations. The second one is, conditionally on the first one, a Gaussian process. Using this representation, we establish sharp multi-scale upper and lower bounds for the transition density of the Landau equation, the multi-scale structure depending on the shape of the support of the initial condition.