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The three-dimensional Euler equations: singular or non-singular

Identifieur interne : 000077 ( Main/Exploration ); précédent : 000076; suivant : 000078

The three-dimensional Euler equations: singular or non-singular

Auteurs : J D Gibbon [Royaume-Uni] ; M. Bustamante [Royaume-Uni] ; R M Kerr [Royaume-Uni]

Source :

RBID : ISTEX:0A54F9C292DE3C15EDB6D2CBA01E924962195671

Abstract

One of the outstanding open questions in modern applied mathematics is whether solutions of the incompressible Euler equations develop a singularity in the vorticity field in a finite time. This paper briefly reviews some of the issues concerning this problem, together with some observations that may suggest that it may be more subtle than first thought.

Url:
DOI: 10.1088/0951-7715/21/8/T02


Affiliations:


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