TitleHigh dimensionality and h-principle in PDE
Publication TypeJournal Article
Year of Publication2017
AuthorsDe Lellis C., L. Székelyhidi Jr.
JournalBulletin (new series) of the American Mathematical Society
Volume54
Pagination247–282
PublisherAmerican Mathematical Society
Type of ArticleExpository Onsager
ISSN0273-0979
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.

URLhttps://www.ams.org/journals/bull/2017-54-02/S0273-0979-2016-01549-7/S0273-0979-2016-01549-7.pdf
DOI10.1090/bull/1549
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