欢迎光临!
您现在所在的位置:首页 >> 通知公告 & 学术信息
科学研究
RESEARCH
Orbital stability of the Degasperis-Procesi equation
时间  Datetime
2020-10-23 15:00 — 16:00
地点  Venue
腾讯会议 APP()
报告人  Speaker
李骥
单位  Affiliation
华中科技大学
邀请人  Host
张祥
备注  remarks
会议 ID:402 216 221 点击链接入会: https://meeting.tencent.com/s/O8ivbsL3Gj1A
报告摘要  Abstract

The Degasperis-Procesi equation is an approximating model of shallow-water wave propagating mainly in one direction to the Euler equation. Such a model equation is analogous to the Camassa-Holm approximation of the two-dimensional incompressible and irrotational Euler equations with the same asymptotic accuracy, and is completely integrable with the bi-Hamiltonian structure. In the present study, we establish existence and stability of localized smooth solitons to the DP equation on the real line. The spectral stability relies essentially on refined spectral analysis of the linear operator corresponding to the second-order variational derivative of the local Hamiltonian. The orbital stability relies on  some tricky L^p controll.