Transverse instability of periodic waves

讲座题目：Transverse instability of periodic waves

讲座时间 Date-time: 2026年1月10日， 周六， 11：00 - 13：00

地点 Venue: 海琴2号 A457

主持人 Host：裴龙 副教授

报告人 Speaker:  连伟 教授

单位 Affiliation: 挪威科技大学

报告摘要 Abstract:

The passage from linear instability to nonlinear instability has been shown for 1D solitary waves under 2D perturbations. Although transverse instability of periodic waves to the KdV equation under the KP-I flow has been expected to be true from spectral instability for a long time, it has not been clear how to adapt the general instability theory for solitary waves to periodic waves until now. In this talk, we present how such an adaptation works with the aid of exponential trichotomies and an approximate scheme. Joint work with Erik Wahlén.

报告人简介：

连伟，挪威科技大学（NTNU）数学科学系博士后，获欧盟 Marie Skłodowska-Curie（MSCA） 博士后资助。研究方向为流体与波动现象中的非线性偏微分方程、稳定性理论与色散波，尤其关注水波与相关模型的横向不稳定性等问题。曾在瑞典隆德大学从事博士后研究，并在 ARMA、JDE、Science China Mathematics 等期刊发表成果。