The ℎ-principle and the equations of fluid dynamics

De Lellis, Camillo; Székelyhidi, László, Jr.

doi:10.1090/S0273-0979-2012-01376-9

The $h$-principle and the equations of fluid dynamics
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by Camillo De Lellis and László Székelyhidi Jr. PDF

Bull. Amer. Math. Soc. 49 (2012), 347-375 Request permission

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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