Technion - Israel Institute of Technology Department of Mathematics ===================================== PDE AND APPLIED MATHEMATICS SEMINAR ===================================== DATE: Tuesday, May 15, 2012 SPEAKER: Irene M. Gamba, University of Texas at Austin TITLE: Analytical issues on the non-conservative Boltzmann equation PLACE: Room 814, Amado Mathematics Building, Technion TIME: 14:30 ABSTRACT: we discuss the analytical properties of the Boltzmann for dissipative interactions such as inelastic collisions in granular gases or classical interactions under the presence of thermostat. More specifically, we show the collision integral satisfies Young's and Hardy Littlewood Sobolev inequalities depending on the collision frequency, and show that constants can be computed exactly. In addition we obtain exponentially weighted L^1 and L^\infty estimates. All these estimates play an important role in compactness arguments to obtain propagation of regularity, high energy tails and long term limits to stationary or self similar states. For further info: Yehuda Pinchover <pincho@techunix.technion.ac.il> For past and future Applied Math/PDE seminars see: <http://www.math.technion.ac.il/pde/seminar.html> --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Yehuda Pinchover <pincho@tx.technion.ac.il>