Helicity conservation and its topological interpretation

by Dr Renzo L RICCA

Thursday 11 Sep 2025, 12:00 → 14:00 Asia/Shanghai

318 (数理楼)

题目：Helicity conservation and its topological interpretation
摘要：Helicity is a fundamental conserved quantity of ideal fluid mechanics; its conservation was discovered in the context of magnetic fields by Woltjer in 1958, and in the context of the Euler equations by Moreau in 1961. But it was only in 1968, with the seminal work of Moffatt, that helicity acquired a topological meaning establishing a deep connection between the continuous deformation of an ideal fluid and the topology of flow maps . Here we review this progress focussing on some of the key features of these advances in relation to open problems of current research, and highlighting modern trends in topological fluid dynamics and knotted fields .
报告人简介：Renzo L. RICCA教授，剑桥大学三一学院数学硕士、博士，意大利米兰–比可卡大学教授，我校特聘教授。主要研究领域为拓扑流体力学，是该领域剑桥学派代表人物。已发表SCI论文近百篇，包括唯一作者Nature一篇，PNAS等著名期刊多篇。主编学术专著4部，综述性论文多篇。学术引用2134次，H指数24，i10指数39。曾长期担任剑桥大学、伦敦大学学院、普林斯顿高研院、巴黎高师的高级研究员。学术兼职包括英美国家自然科学基金、英国工程与物理科学基金评审人，欧盟EC-FET大型开放项目监督协调人，希腊国家科技部高级发展顾问。施普林格、世图、帝国理工等学术出版社专著类审稿人，Phys Rev Lett等著名期刊审稿人。