The three-dimensional Euler equations: Where do we stand?

@inproceedings{Gibbon2008TheTE,
  title={The three-dimensional Euler equations: Where do we stand?},
  author={John D. Gibbon},
  year={2008}
}
The three-dimensional Euler equations have stood for a quarter of a millenium as a challenge to mathematicians and physicists. While much has been discovered, the nature of solutions is still largely a mystery. This paper surveys some of the issues, such as singularity formation, that have cost so much effort in the last 25 years. In this light we review the Beale‐Kato‐Majda theorem and its consequences and then list some of the results of numerical experiments that have been attempted. A… CONTINUE READING
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