学术报告
Maxwellian bounds for solutions of the spatially homogeneous Boltzmann equation
题目：Maxwellian bounds for solutions of the spatially homogeneous Boltzmann equation
报告人：Prof. Aleksander Bobylev
Keldysh Institute of Applied Mathematics (KIAM), Russian Academy of Sciences
报告人简介: Aleksander Bobylev
Chief scientific researcher at KIAM, Russian Academy of Sciences;
PhD in Mathematics, KIAM, 1978；
Doctor of Sciences. (Dr. Hab.) in Mathematics, KIAM, 1984;
Professor in Mathematics at Karlstad University, Dept. of Mathematics, Sweden,2000-2014
A. Bobylev以发现结构和精细演算著称于Kinetic Theory和统计物理。
摘要: The talk is based on a joint paper with Irene Gamba. We consider the spatially homogeneous Boltzmann equation and assume that the initial distribution function is bounded by a Maxwellian. A natural conjecture is that the corresponding solution is also bounded uniformly in time by another Maxwellian with constant parameters. The conjecture was considered earlier by several authors and finally it was proved for hard spheres and hard potentials with cut-off. The proof, however, does not work for pseudo-Maxwell molecules. We discuss related questions in the talk and present another way of proof, which can be applied to the Maxwell case. Lower Maxwellian bounds are also briefly discussed.
时间：4月18日（周一）上午10:30-11:30
地点：首都师大北一区文科楼707教室
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