学术报告
Global well-posedness of the Boltzmann equation with large amplitude initial data - 黄飞敏研究员 （中国科学院数学与系统科学研究院）
题目：Global well-posedness of the Boltzmann equation with large amplitude initial data
报告人：黄飞敏研究员 （中国科学院数学与系统科学研究院）
Abstract :
The global well-posedness of the Boltzmann equation with initial data of large amplitude has remained a long-standing open problem. In this paper, by developing a new $L^/infty_xL^1_{v}/cap L^/infty_{x,v}$ approach, we prove the global existence and uniqueness of mild solutions to the Boltzmann equation in the whole space or torus for a class of initial data with bounded velocity-weighted $L^/infty$ norm under some smallness condition on $L^1_xL^/infty_v$ norm as well as defect mass, energy and entropy so that the initial data allow large amplitude oscillations. Both the hard and soft potentials with angular cut-off are considered, and the large time behavior of solutions in $L^/infty_{x,v}$ norm with explicit rates of convergence is also studied.
时间：9月8日（周五）下午16:50-17:40
地点：首都师范大学本部教二楼527教室
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