TitleOnsager critical solutions of the forced Navier-Stokes equations
Publication TypeJournal Article
Year of Publication2023
AuthorsBrue' E, Colombo M, Crippa G, De Lellis C, Sorella M
JournalComm. Pure Appl. Anal.
Type of ArticleNS
Abstract

We answer positively to Question 2.4 from a paper of author 1 and 4 by building new examples of solutions to the forced $3d$-Navier-Stokes equations with vanishing viscosity, which exhibit anomalous dissipation and which enjoy uniform bounds in the space $L^3_t C^{\sfrac{1}{3}-\varepsilon}_x$, for any fixed $\varepsilon >0$.
 

Notes

Comm. Pure Appl. Anal. 2024, Volume 23, Issue 10: 1350-1366. Dedicated to  Vladimir Sverak on occasion of his 65th birthday. 

URLhttps://www.aimsciences.org/article/doi/10.3934/cpaa.2023071
DOI10.3934/cpaa.2023071
Order: 
4