EVENT DETAILS AND ABSTRACT

Title: Propagation of Sharp Estimates for Solutions of the Boltzmann Equation
Speaker: Professor Irene Gamba
Speaker Info: University of Texas at Austin
Brief Description:
Special Note:
Abstract:

We prove the propagation of L^1 and L^\infty Maxwellian weighted global bounds for solutions, and to any of its derivative, of the space homogeneous elastic Boltzmann equation in n-dimensions, for realistic intra-molecular potentials leading to collisional kernels of variable hard potentials type with for unbounded, integrable angular cross sections (Grad's forms).

One of the interesting new development is the sharp Povzner estimates and summability of moments to variable hard potentials and unbounded, integrable cross section, which carries on to all derivatives. A fundamental implications of this work leads also to the creation of moments and summability properties (that give exponentially weighted bounds) for unbounded, integrable cross sections.

This work is in collaboration with Vlad Panferov and Cedric Villani, and more recently with Ricardo Alonso.