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Comparison principles and pointwise estimates for solutions of Boltzmann-type equationsSpecial Events
|Speaker:||Vladislav Panferov, University of Victoria|
|Start time:||Wed, Feb 25 2004, 4:10PM|
Boltzmann-type equations with inelastic interactions appear as kinetic models for rapid flows of granular media. Among many interesting features of solutions of such equations is non-Gaussian behavior of the high-energy tails of velocity distributions. I will present recent work with I. Gamba, A. Bobylev and C. Villani on rigorous derivation of this high-energy behavior. A novel technique for obtaining pointwise estimates for the nonlinear Boltzmann equation, based on a comparison principle, will receive particular attention.