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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)

作者:   来源:  时间:2017-09-08

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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