Calculus of Variations and Geometric Measure Theory
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C. De Lellis - L. J. Sz\'ekelyhidi

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

created by delellis on 02 Jul 2013

[BibTeX]

Published Paper

Inserted: 2 jul 2013
Last Updated: 2 jul 2013

Journal: Bull. Amer. Math. Soc.
Volume: 49
Number: 3
Pages: 347-375
Year: 2012

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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