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.
High dimensionality and H-principle in PDE
De Lellis, C.;
2017-01-01
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.File in questo prodotto:
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