报告题目：Global well-posedness of Vlasov-Poisson-Boltzmann system with neutral initial data and small relative entropy

报 告 人：熊杭博士（中国科学院数学与系统科学研究院）

报告时间：2024年4月6日  13:30

报告地点：格物楼302学术报告厅

报告摘要：

The dynamics of dilute plasma particles such as electrons and ions can be modeled by the fundamental two species Vlasov-Poisson-Boltzmann system which describes mutual interactions of plasma particles through collisions in the self-induced electric field. In this paper, we are concerned with global well-posed theory of mild solutions to this system. We established the global existence and uniqueness of mild solutions to the two species Vlasov-Poisson-Boltzmann system in the torus for a class of initial data with bounded time-velocity-weighted $L^{\infty}$ norm under nealy neutral condition and some smallness condition on $L^1_xL^\infty_v$ norm with time-velocity-weight as well as defect mass, energy and entropy so that the initial data allow large amplitude oscillations.

报告人简介：

熊杭，博士毕业于华中科技大学，现为中国科学院数学与系统科学研究院博士后，合作导师为黄飞敏研究员。熊杭博士主要从事Boltzmann方程及其相关动理学模型适定性问题的研究。目前主持中国博士后基金特别资助项目1项，中国博士后基金面上项目1项。