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Bulletin of the American Mathematical Society

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The $ h$-principle and the equations of fluid dynamics


Authors: Camillo De Lellis and László Székelyhidi Jr.
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
Published electronically: April 26, 2012
MathSciNet review: 2917063
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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.


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Additional Information

Camillo De Lellis
Affiliation: Institut für Mathematik, Universität Zürich, CH-8057 Zürich
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

DOI: https://doi.org/10.1090/S0273-0979-2012-01376-9
Received by editor(s): November 14, 2011
Received by editor(s) in revised form: March 6, 2012
Published electronically: April 26, 2012
Article copyright: © Copyright 2012 American Mathematical Society