Anomalous energy flux in critical $L^p$-based spaces

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, $p\le 3$; in particular, it belongs to $H^{(\frac{5}{6}{)}^{-}}$.

Updated bibliography; version accepted in JMFM

Cited by in corpus (1)

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