Helical symmetry solutions for 3D incompressible Euler equations in an infinite cylinder
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：曹道民（中国科学院）
：2022-11-10 15:00
：腾讯会议ID：916830705（无密码）
报告人：曹道民（中国科学院）
时 间：11月10日下午15:00
地 点：腾讯会议ID：916830705（无密码）
内容摘要:
In this talk we are interested in solutions whose vorticities are large and concentrated uniformly near a smooth curve $ Gamma(t) $ embedded in entire $R^3$.This type of solutions, vortex filaments, are classical objects of fluid dynamics. Under suitable assumptions it is known to some extent that the curve evolves by its binormal flow. Two special kinds of binormal flows are traveling circle and rotating-translating helix. Solutions concentrating near a traveling circle is called vortex ring which have been studied extensively. In this talk, we will present existence of solutions near rotating-translating helix. The general case is called vortex filament conjecture which is still a well-known open problem. This talk is based on a joint paper with Wan Jie at Beijing University of Technology.
个人简介：
曹道民，中国科学院数学与系统科学研究院研究员，博士生导师。国家杰出青年科学基金获得者。曾获得中国科学院青年科学家奖一等奖、中国科学院杰出青年等荣誉。曾任中国科学院数学与系统科学研究院应用数学研究所所长。主要从事非线性偏微分方程和非线性分析的研究。任《应用数学学报》和《数学物理学报》副主编，《Applicable Analysis》等刊物的编委。独立或与人合作在Adv.Math., ARMA, Comm.PDE, Duke Math.J, J.Funct.Anal., Math. Ann., SIAM J.Math.Anal., Trans. Amer. Math. Soc. 等期刊发表过几十篇论文，并与人合作在剑桥大学出版社出版专著一部。
联系人：詹伟城
