English

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

Analysis of PDEs 2023-03-22 v2 Mathematical Physics math.MP

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 LpL^p-based spaces, p3p \le 3; in particular, it belongs to H(56)H^{(\frac56)^-}.

Keywords

Cite

@article{arxiv.2203.08730,
  title  = {Anomalous energy flux in critical $L^p$-based spaces},
  author = {Jan Burczak and Gabriel Sattig},
  journal= {arXiv preprint arXiv:2203.08730},
  year   = {2023}
}

Comments

Updated bibliography; version accepted in JMFM