On the nonlinear transverse asymptotic
stability of line solitary waves for the
three-dimensional Euler–Poisson system
报告专家：孙长贞研究员（法国CNRS & University of Marie & Louis-Pasteur）
报告时间：7月30日（星期四）上午10:30-11:30
报告地点：国家天元数学西南中心401
报告摘要：
The ionic Euler–Poisson system serves as a hydrodynamic model for plasma, describing the motion of ions interacting with a background electron density. It is known that this three-dimensional system admits a family of one-dimensional solitary waves that propagate in a single direction with exponential localization. In this talk, we investigate the stability of these line solitary waves in the three-dimensional Euler–Poisson system. Since perturbations are allowed to depend on the transverse variables, this is referred to as transverse stability. We show that the line solitary waves are nonlinearly transversely stable: solutions starting close to a line solitary wave exist globally in time and converges in some suitable space to a modulated solitary wave as time tends to infinity.
专家简介：
孙长贞，现任法国国家科学研究中心（CNRS）青年研究员，在法国玛丽-路易·巴斯德大学开展研究工作。2021年获巴黎萨克雷大学数学博士学位，随后在图卢兹从事博士后研究，并于2023年加入法国国家科学研究中心。主要研究方向为偏微分方程与流体力学，包括流体系统中的奇异极限问题以及行波的稳定性分析。相关研究成果发表于Ann. PDE, ARMA, CMP, JMPA, PLMS等期刊。
邀请人：王渝西、李徽
