Recent results on steady vortex rings of small cross-section
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：邹昌君（四川大学）
：2022-10-20 15:00
：腾讯会议ID：406 883 552（无密码）
报告人：邹昌君（四川大学）
时 间：10月20日下午15:00
地 点：腾讯会议ID：406 883 552（无密码）
内容摘要:
We will talk about steady vortex rings in an ideal fluid of uniform density, which are special global solutions of the three-dimensional incompressible Euler equation. We systematically establish the existence, uniqueness and nonlinear stability of steady vortex rings of small cross-section for which the potential vorticity is constant throughout the core. The latter two answer a long-standing question since the pioneering work of Fraenkel and Berger (Acta Math 132:13--51, 1974). Our proof is based on a combination of the Lyapunov-Schmidt reduction argument, the local Pohozaev identity technique and the variational method, which provides a general approach for a large class of thin vortex rings.
个人简介：
邹昌君，博士毕业于中科院数学与系统科学研究院，现于四川大学担任专职博士后，主要从事不可压缩流体方程涡度解适定性的研究。相关工作发表在J. Funct. Anal., Int. Math. Res. Not.以及JDE等学术期刊上。
联系人：詹伟城
