Classical convolution inequalities and Boltzmann equations for integrable angular section

Monday, February 23, 2009 -
4:00pm to 6:00pm
We study the integrability properties of the gain part of the Boltzmann collision operator using radial symmetrization techniques from harmonic analysis to show Young's inequality in the case of hard potentials and Hardy-Littlewood-Sobolev inequality for soft potentials. The contacts are given by exact formulas depending on the angular cross section. By applying these estimates we can revisit and obtain new results for existence and uniqueness to the corresponding space inhomogeneous equations with special initial data. This is work partly in collaboration with E. Carneiro and R. Alonso
Irene Gamba
University of Texas at Austin
Event Location: 
Fine Hall 110