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

Authors
Chae, D.Wolf, J.
Issue Date
Jun-2020
Publisher
Springer New York LLC
Citation
Communications in Mathematical Physics, v.376, no.2, pp 1627 - 1669
Pages
43
Journal Title
Communications in Mathematical Physics
Volume
376
Number
2
Start Page
1627
End Page
1669
URI
https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/37869
DOI
10.1007/s00220-019-03566-6
ISSN
0010-3616
1432-0916
Abstract
We exclude Type I blow-up, which occurs in the form of atomic concentrations of the L2 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. © 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
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