报告题目：Moment propagation of the plasma-charge model with a time-varying magnetic field

报告人：张显文

报告时间：2023年12月01日（周五）16:00开始

报告地点：数学楼315会议室

报告摘要：In this paper, we prove the global existence and moment propagation of weak solutions for the repulsive plasma-charge model with a time-varying magnetic field. Multi-point charges are allowed according to an improved mechanism to compensate the asymmetry caused by the point charges, which brings us back to the standard Lions- Perthame's argument. To deal with two type singularities induced by the point charges and the magnetic field, we combine the ideas from Desvillettes-Miot-Saffirio(Ann. Inst. H. Poincaré Anal. Non Linéaire, 2015) and Rege(SIAM J. Math. Anal. 2021). The macroscopic density of the plasma is allowed to be constant around the point charges, by applying the moment lemma established by Perthame and careful compactness argument. The result answers two questions raised by Desvillettes-Miot-Saffirio(Ann. Inst. H. Poincaré Anal. Non Linéaire, 2015).

报告人简介：张显文，博士，华中科技大学威廉希尔教授、博士生导师, 研究领域为非线性偏微分方程，目前主要关注Vlasov-Poisson系统、非线性Boltzmann方程以及其他各种动理学方程的整体适定性、正则性传播以及大时间行为等问题。主持和参加多项国家自然科学基金项目，在Commum.Math.Phys., SIAM J.Math.Anal., J.Differential Equations等国内外学术期刊上发表论文80余篇。