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Anomalous Energy Flux in Critical Lp-Based Spaces.

Authors :
Burczak, Jan
Sattig, Gabriel
Source :
Journal of Mathematical Fluid Mechanics; May2023, Vol. 25 Issue 2, p1-15, 15p
Publication Year :
2023

Abstract

We construct a three-dimensional vector field that exhibits positive energy flux at every Littlewood–Paley shell and has the best possible regularity in L p -based spaces, p ≤ 3 ; in particular, it belongs to H (5 6) - . [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14226928
Volume :
25
Issue :
2
Database :
Complementary Index
Journal :
Journal of Mathematical Fluid Mechanics
Publication Type :
Academic Journal
Accession number :
162586896
Full Text :
https://doi.org/10.1007/s00021-023-00770-2