English

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

Analysis of PDEs 2011-11-14 v1 Differential Geometry

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 hh-principle holds in several cases.

Keywords

Cite

@article{arxiv.1111.2700,
  title  = {The $h$-principle and the equations of fluid dynamics},
  author = {Camillo De Lellis and László Székelyhidi},
  journal= {arXiv preprint arXiv:1111.2700},
  year   = {2011}
}

Comments

30 pages