中国科学院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

学术报告

偏微分方程讨论班

Speaker: Jin Woo Jang (POSTECH)

Inviter:  阮国兴

Language: English

Title：Long-Time Dynamics of the 3D Vlasov–Maxwell System with Boundaries

Time&Venue：2025年11月17日（星期一）9:00-10 :00/Zoom: 275 958 7492, 密码: AMSS2025

Abstract：In this talk, we study the Vlasov–Maxwell system, a fundamental collisionless kinetic model for plasmas, in a three-dimensional half-space with boundary. We construct global-in-time classical solutions to the nonlinear system beyond the vacuum scattering regime. Our approach combines the construction of stationary boundary equilibria with a proof of their asymptotic stability in $L^\infty$ under small perturbations. This provides a new framework for analyzing long-time wave–particle interactions in the presence of boundaries and interacting magnetic fields. To the best of our knowledge, this work presents the first construction of asymptotically stable non-vacuum steady states under general perturbations in the full three-dimensional nonlinear Vlasov–Maxwell system. This is joint work with Chanwoo Kim