Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Comparison principles and pointwise estimates for solutions of Boltzmann-type equations

Special Events

Speaker: Vladislav Panferov, University of Victoria
Location: 693 Kerr
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.