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

Research output: Contribution to journalArticlepeer-review

34 Scopus citations

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.

Original languageEnglish
Pages (from-to)1-100
Number of pages100
JournalEMS Surveys in Mathematical Sciences
Volume10
DOIs
StatePublished - 2023

Keywords

  • Incompressible Euler equations
  • infinite-dimensional dynamical systems
  • singularity formation

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