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 L3 t C1/3-epsilon x , for any fixed epsilon > 0. Our construction combines ideas of [3] and [5].
Onsager critical solutions of the forced Navier-Stokes equations
Brué, Elia;Colombo, Maria;
In corso di stampa
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 L3 t C1/3-epsilon x , for any fixed epsilon > 0. Our construction combines ideas of [3] and [5].
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