Onsager critical solutions of the forced Navier-Stokes equations
Abstract
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 Lt3 Cx1/3 - , for any fixed >0. Our construction combines ideas of [BDL22] and [CCS22].
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