High dimensionality and h-principle in PDE

Abstract

In this note we would like to present "an analysts' point of view" on the Nash-Kuiper theorem and in particular highlight the very close connection to some aspects of turbulence -- a paradigm example of a high-dimensional phenomenon.

arXiv commentTo appear in the Bulletin of the AMS

References in corpus (2)

• On admissibility criteria for weak solutions of the Euler equations
• h-Principles for the incompressible Euler equations

Cited by in corpus (1)

• Higher Sobolev Regularity of Convex Integration Solutions in Elasticity