TitleOnsager critical solutions of the forced Navier-Stokes equations
Publication TypeJournal Article
AuthorsBrue' E, Colombo M, Crippa G, De Lellis C, Sorella M
Type of ArticleNS

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 $\varepsilon >0$.