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On the global dynamics of the Boltzmann equation without angular cutoff
发布时间: 2017-10-09     17:19   【返回上一页】 发布人:何凌冰


 

北京师范大学数学科学学院

 

周五公众报告

 

 

报告题目:On the global dynamics of the Boltzmann equation without angular cutoff

报告人:何凌冰(清华大学)

时间地点:1013日,1500—1600  后主楼1124

邀请人:熊金钢

报告摘要:In this talk, I will focus on the global dynamics of the original Boltzmann equations without angular cutoff in the torus. To solve the problem we will introduce so-called the energy-entropy method which characterizes the propagation of the regularity, H-theorem and the interplay between the energy and the entropy. Our approach incorporates almost all the fundamental properties of the equation: the entropy production inequality, the immediately appearance of pointwise lower bound of the solution, the smoothing property of the positive part of the collision operator, averaging lemma for the transport equation, the Povnzer inequality for $L^1$ moment and the sharp bounds for the collision operator. While the main results here are independent of the linearized theory for the equation.

 

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