Published Paper

Inserted: 25 dec 2022
Last Updated: 5 jun 2023

Journal: Communications on Pure and Applied Analysis
Year: 2022

Abstract:

We answer positively to BDL22, Question 2.4 by building new examples of solutions to the forced three-dimensional Navier-Stokes equations with vanishing viscosity, which exhibit anomalous dissipation and which enjoy uniform bounds in the space $L^3_t C^{\frac{1}{3}-\varepsilon}_x$, for any fixed $\varepsilon >0$. Our construction combines ideas of BDL22 and CCS22.

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• anomalous6.pdf