Euler equations for incompressible ideal fluids
By Claude Bardos, Edriss S. Titi. 2007
136 citations recorded by the source corpus.
This article is a survey concerning the state-of-the-art mathematical theory of the Euler equations for an incompressible homogeneous ideal fluid. Emphasis is put on the different types of emerging instability, and how they may be related to the description of turbulence.
Subfields: Applied Mathematics, Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/0d216e56ade1d2aca8d331f280510ee1394f3438
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Vlad Vicol
- Peter Constantin
- John D. Gibbon
- Luis Silvestre
- T. Buckmaster
- Nader Masmoudi
- Michele Coti Zelati
- Igor Kukavica
In Computational Mechanics
- Vlad Vicol
- Peter Constantin
- John D. Gibbon
- T. Buckmaster
- Luis Silvestre
- Nathan E. Glatt-Holtz
- Maria Colombo
- Mihaela Ignatova
Citations in the corpus
- Nonlinear maximum principles for dissipative linear nonlocal operators and applications (2011, background): “See, for instance, the survey articles [2, 9, 10], the books [7, 28], and references therein for a review of the subject.”
- On the Euler equations of incompressible fluids (2007, background): “There are books ([6], [28], [33], [105], [107]) and expository articles ([10], [42], [80]) on the subject, too numerous to all be listed here.”
- The three-dimensional Euler equations : Where do we stand? (2008, methodology): “I would like to thank Claude Bardos, Peter Constantin, Uriel Frisch, Rainer Grauer, Raymond Hide, Darryl Holm, Tom Hou, Bob Kerr, Keith Moffatt, Koji Ohkitani, Ian Roulstone, Trevor Stuart and Edriss Titi for helpful comments and corrections on the material both in this paper and the content of my l”