Onsager critical solutions of the forced Navier-Stokes equations

Bruè, Elia and Colombo, Maria and Crippa, Gianluca and De Lellis, Camillo and Sorella, Massimo. (2023) Onsager critical solutions of the forced Navier-Stokes equations. Preprints Fachbereich Mathematik, 2023 (01).


Official URL: https://edoc.unibas.ch/94315/

Downloads: Statistics Overview


We answer positively to [BDL22, Question 2.4] 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 $L_t^3 C_x^{1/3 - \varepsilon}$, for any fixed $\varepsilon >0$. Our construction combines ideas of [BDL22] and [CCS22].
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Crippa)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Crippa, Gianluca
Item Type:Preprint
Publisher:Universität Basel
edoc DOI:
Last Modified:13 Apr 2023 08:38
Deposited On:13 Apr 2023 08:38

Repository Staff Only: item control page