tyc8722太阳集团学术报告

--- 分析与偏微分方程讨论班(2026春季第4讲)

Dispersive Limit of the Euler-Poisson Equation

蒲学科 (广州大学)

时间：5月14日（周四）上午10:30-11:30

地点：#腾讯会议：328-514-812 #会议密码：260514

#会议链接：https://meeting.tencent.com/dm/DHTC54JkrBOb

摘要: The nonlinear Schr\"{o}dinger (NLS) equation can be derived as a formal approximation equation describing the envelopes of slowly modulated spatially and temporarily oscillating wave packet-like solutions to the ion Euler-Poisson equation. In this talk, we rigorously justify such approximation by giving error estimates in Sobolev norms between exact solutions of the ion Euler-Poisson system and the formal approximation obtained via the NLS equation. This a joint work with Dr. Huimin Liu.

报告人简介：蒲学科，理学博士，广州大学，教授，博士生导师。毕业于中国工程物理研究院研究生部，获理学博士学位，应用数学方向，主要从事非线性偏微分方程的数学理论研究。目前已在Sci. China: Math, Comm. Math. Phys., Arch. Ration. Mech. Anal., J. Funct. Anal., SIAM J. Math. Anal., Calc. Var.等重要数学期刊上发表论文多篇，出版英文专著两部，目前已获得国家自然科学基金三项面上项目资助。

邀请人：徐丽