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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：10月13日，15：00—16：00 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.
周五学院公众报告主旨：讲解现代数学中的基本概念、重要结果及其数学思想的起源、方法的创新等，扩展我们的教师和研究生的视野、提高数学修养以及增强学院的学术氛围。邀请各方向的专家用通俗易懂的报告内容、自由互动的讲解方式展现现代数学中重要的基本概念和深刻原理，让听众可以领略到现代数学理论其实是来源于一些大学或研究生阶段就熟知的古典数学中的想法和结论。希望这些报告有助于高年级的本科生、研究生和教师更全面的认识现代数学、享受数学之美。欢迎大家踊跃参与！
