学术报告

A Revisit to Mixture Lemma-王海涛 副教授 (上海交通大学)

报告题目:A Revisit to Mixture Lemma

报告人:王海涛 副教授 (上海交通大学)

摘要:Mixture Lemma plays a fundamental role in the construction of Green's function for Boltzmann equation. It reveals that the mixture of transport and collision (gain term) will transfer the microscopic velocity regularity to macroscopic space regularity. In this talk, we will introduce two generalizations of this lemma. The first one shows that the mixture not only transfers regularity, but also creates regularity and decay as many as one desires. The second one constructs the mixture mechanism for fractional derivative. Their applications in the pointwise estimates of Boltzmann equation will also be discussed.

报告时间:2023年4月21日(周五)上午9:00-10:00

报告地点:教二楼913教室

联系人:牛冬娟