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Energy Concentrations and Type I Blow-Up for the 3D Euler Equations

Authors :
Joerg Wolf
Dongho Chae
Source :
Communications in Mathematical Physics. 376:1627-1669
Publication Year :
2019
Publisher :
Springer Science and Business Media LLC, 2019.

Abstract

We exclude Type I blow-up, which occurs in the form of atomic concentrations of the $$L^2$$ norm for the solution of the 3D incompressible Euler equations. As a corollary we prove nonexistence of discretely self-similar blow-up in the energy conserving scale.

Details

ISSN :
14320916 and 00103616
Volume :
376
Database :
OpenAIRE
Journal :
Communications in Mathematical Physics
Accession number :
edsair.doi...........11398f2d69417f8968d72e4f80037bfc
Full Text :
https://doi.org/10.1007/s00220-019-03566-6