English

Singularity formation in the incompressible Euler equation in finite and infinite time

Analysis of PDEs 2022-09-28 v2 Mathematical Physics math.MP Fluid Dynamics

Abstract

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.

Keywords

Cite

@article{arxiv.2203.17221,
  title  = {Singularity formation in the incompressible Euler equation in finite and infinite time},
  author = {Theodore D. Drivas and Tarek M. Elgindi},
  journal= {arXiv preprint arXiv:2203.17221},
  year   = {2022}
}

Comments

95 pages, 22 figures; some additional content and slight modifications