JournalsemssVol. 10, No. 1pp. 1–100

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

  • Theodore D. Drivas

    Institute for Advanced Study, Princeton, USA; SUNY Stony Brook

  • Tarek M. Elgindi

    Duke University, Durham, USA
Singularity formation in the incompressible Euler equation in finite and infinite time cover
Download PDF

This article is published open access under our Subscribe to Open model.

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.

Cite this article

Theodore D. Drivas, Tarek M. Elgindi, Singularity formation in the incompressible Euler equation in finite and infinite time. EMS Surv. Math. Sci. 10 (2023), no. 1, pp. 1–100

DOI 10.4171/EMSS/66