Publication

Onsager critical solutions of the forced Navier-Stokes equations

2024

Abstract

We answer positively to [3]*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 L3tCx1/3−ε, for any fixed ε > 0. Our construction combines ideas of [3] and [5].

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Onsager critical solutions of the forced Navier-Stokes equations

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Simulation of benchmark and industrial unsteady compressible turbulent fluid flows