From KP-I Lump solution to travelling waves of Gross-Pitaevskii equation
数学专题报告
报告题目(Title)：From KP-I Lump solution to travelling waves of Gross-Pitaevskii equation
报告人(Speaker)：杨文 (中国科学院精密测量科学与技术创新研究院)
地点(Place)：后主楼1124
时间(Time)：2023 年 5月 10 日(周三), 9：00-10：00
邀请人(Inviter)：熊金钢
报告摘要
Using classical lump solution of the KP-I equation, we construct a family of travelling wave type solutions to the GP equation in the transonic regime. One of the main ingredients in our proof is detailed analysis of the Green function associated to a family of fourth order hypoelliptic operators. This a joint work with Yong Liu, Zheng-ping Wang, Jun-cheng Wei.
