论文标题
在有限和无限时间内不可压缩的欧拉方程中的奇异性形成
Singularity formation in the incompressible Euler equation in finite and infinite time
论文作者
论文摘要
收集和审查了有关完美(不可压缩和无关)流体运动的Euler方程的一些经典和最新结果,其中一些小型的新颖性散布在整个过程中。观点和重点将通过无限维动力系统的镜头给出,并列出和讨论各种开放问题。
Some classical and recent results on the Euler equations governing perfect (incompressible and inviscid) fluid motion are collected and reviewed, with some small novelties scattered throughout. The perspective and emphasis will be given through the lens of infinite-dimensional dynamical systems, and various open problems are listed and discussed.