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arXiv:2203.17221math.AP

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

Theodore D. Drivas, Tarek M. Elgindi

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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.

arXiv comments
95 pages, 22 figures; some additional content and slight modifications
Journal reference
DOI
Subjects
math.APAnalysis of PDEs math-phMathematical Physics physics.flu-dynFluid Dynamics

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  1. Computer proof ‘blows up’ centuries-old fluid equations 1 comment

    • The incompressible Euler equations model a fluid as a two-valued field. This means that at every point in space, the field has two values, density and velocity (1). To me (2), a singularity in a field like this means that one or more of the field values "blows up", i.e. goes to…

      wwalker3View on HNParent context

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