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

by: JD Gibbon, M Bustamante, RM Kerr
Nonlinearity, Vol. 21, No. 8. (August 2008), pp. T123-T129.


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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.


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