Asymmetric capillary–gravity water waves in the steady periodic setting

讲座题目：Asymmetric capillary–gravity water waves in the steady periodic setting

讲座时间 Date-time: 2026年1月10日， 周六， 9：00 - 11：00

地点 Venue: 海琴2号 A457

主持人 Host：裴龙 副教授

报告人 Speaker:  Mats Ehrnstrom 教授

单位 Affiliation: 挪威科技大学

报告摘要 Abstract:

We discuss ongoing work on asymmetric capillary–gravity surface waves in the Euler equations. It has been known for a long time that the setting of weak surface tension allows for higher-dimensional bifurcation from still water, giving rise to multimodal waves with more than one crest in a period. These waves have, however, all been symmetric, although numerical calculations indicate the presence of truly asymmetric waves in the steady periodic setting. Recently, Mæhlen and Svensson Seth extended earlier bifurcation results for the gravity–capillary Whitham equation, showing that asymmetric solutions exist as natural extensions of bimodal waves. In this work, which is joint with Douglas Svensson Seth (NTNU) and Boris Buffoni (EPFL), we investigate the existence of such asymmetric solutions in the Euler equations.

报告人简介：

Mats Ehrnstrom是挪威科技大学数学系教授，其研究领域涵盖水波问题，非线性色散方程以及与水波问题和神经科学相关的数据驱动偏微分方程。Mats Ehrnstrom教授目前担任DIScover、挪威基金委IMod项目、挪威科技大学海洋海岸区域水体与水系统研究小组、数学系微分方程与数值分析小组等研究计划与小组的领导人，主持挪威国家基金委项目等多项科研项目，在Annales de l'Institut Henri Poincare-Analyse nonlinéar，Archive for Rational Mechanics and Analysis，Journal of the European Mathematical Society，SIAM Journal on Mathematical Analysis, Duke Mathematical Journal等国际知名期刊发表文章。