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arXiv · 2203.08730

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

Jan Burczak·Gabriel Sattig
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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 $H^{(\frac56)^-}$.

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Jan Burczak, Gabriel Sattig. 2022-03-16. Anomalous energy flux in critical $L^p$-based spaces. https://doi.org/10.1007/s00021-023-00770-2

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