关于举行河海大学蒋鹏副教授学术报告会的通知

报告题目：Global existence and large time behavior of classical solutions to the Euler-Maxwell-Vlasov-Fokker-Planck system

报   告 人：蒋鹏 副教授 (河海大学)

报告时间：2019年12月24日（星期二）上午10:30-11:30                

报告地点：4号楼318室

邀   请 人：温焕尧 教授

欢迎广大师生前往！

数学学院

2019年12月18日

报告摘要：

In this talk, we consider global classical solutions to the Cauchy problem for an Euler-Maxwell-Vlasov-Fokker-Planck system, which is a fluid-particle model describe the evolutions of disperse two-phase flows. In these two-phase flows, the compressible Euler-Maxwell equations modelling a dense phase (fluid) and the Vlasov-Fokker-Planck equation for the dispersed phase (particles) which is usually considered from the statistical view of point. They are coupled through the friction force. Global existence of classical solutions to the Cauchy problem in $\R^{3}$ is established when initial data is a small perturbation of some given equilibrium. The algebraic rate of convergence of solution toward the equilibrium state is also obtained under additional conditions on initial data. The proof is based on the classical energy estimates and Fourier multiplier technique, which are considerably complicated and some new ideas and techniques are thus required.

报告人简介：

蒋鹏，河海大学理学院副教授，硕士生导师。主要研究方向为流体力学中的偏微分方程。 主持国家自然科学基金和江苏省自然科学基金3项。在Annales de l'Institut Henri Poincare/Analyse non lineaire、Journal of Differential Equations、Disc. Contin. Dyn. Sys、Nonlinearity等期刊发表学术论文十余篇。