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Energy Concentrations and Type I Blow-Up for the 3D Euler Equations
- 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.
- Subjects :
- Physics
010102 general mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
Statistical and Nonlinear Physics
01 natural sciences
Euler equations
symbols.namesake
Corollary
Norm (mathematics)
0103 physical sciences
symbols
Incompressible euler equations
010307 mathematical physics
0101 mathematics
Mathematical Physics
Subjects
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