The $h$-principle and the equations of fluid dynamics
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- by Camillo De Lellis and László Székelyhidi Jr. PDF
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Abstract:
In this note we survey some recent results for the Euler equations in compressible and incompressible fluid dynamics. The main point of all these theorems is the surprising fact that a suitable variant of Gromov’s $h$-principle holds in several cases.References
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Additional Information
- Camillo De Lellis
- Affiliation: Institut für Mathematik, Universität Zürich, CH-8057 Zürich
- MR Author ID: 657273
- ORCID: 0000-0002-4089-7129
- Email: camillo.delellis@math.unizh.ch
- László Székelyhidi Jr.
- Affiliation: Institut für Mathematik, Universität Leipzig, D-04103 Leipzig
- Email: laszlo.szekelyhidi@math.uni-leipzig.de
- Received by editor(s): November 14, 2011
- Received by editor(s) in revised form: March 6, 2012
- Published electronically: April 26, 2012
- © Copyright 2012 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 49 (2012), 347-375
- MSC (2010): Primary 76B03; Secondary 76F02, 35Q35
- DOI: https://doi.org/10.1090/S0273-0979-2012-01376-9
- MathSciNet review: 2917063