| Title | High dimensionality and h-principle in PDE |
| Publication Type | Journal Article |
| Year of Publication | 2017 |
| Authors | De Lellis C., L. Székelyhidi Jr. |
| Journal | Bulletin (new series) of the American Mathematical Society |
| Volume | 54 |
| Pagination | 247–282 |
| Publisher | American Mathematical Society |
| Type of Article | Expository Onsager |
| ISSN | 0273-0979 |
| Abstract | In this note we present "an analyst's point of view'' on the Nash-Kuiper Theorem and, in particular, highlight the very close connection to turbulence–a paradigm example of a high-dimensional phenomenon. Our aim is to explain recent applications of Nash's ideas in connection with the incompressible Euler equations and Onsager's famous conjecture on the energy dissipation in 3D turbulence. |
| Notes | Bull. Amer. Math. Soc. (N.S.) 54 (2017), no. 2, 247–282. |
| URL | https://www.ams.org/journals/bull/2017-54-02/S0273-0979-2016-01549-7/S0273-0979-2016-01549-7.pdf |
| DOI | 10.1090/bull/1549 |
PDF:
Order:
5