题目: Dispersive Limit Problems for the Ion Euler-Poisson Equation

报告人：蒲学科 (广州大学)

时间：1月6日19:00-20:00

地点：腾讯会议: 332-864-031

会议密码：123456

摘要：The KdV equation and the nonlinear Schr\”{o}dinger (NLS) equation can be derived as formal approximation equations describing the long wavelength limit and 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 approximations by giving error estimates in Sobolev norms between exact solutions of the ion Euler-Poisson system and the formal approximation obtained via the KdV and the NLS equation.