Technion - Israel Institute of Technology
 
          Department of Mathematics
 
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     PDE AND APPLIED MATHEMATICS SEMINAR
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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>
 
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Technion Math. Net (TECHMATH)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Yehuda Pinchover   <pincho@tx.technion.ac.il>