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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… Click to show full 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 $L_t^3 C_x^{1/3 - \varepsilon}$, for any fixed $\varepsilon>0$. Our construction combines ideas of [BDL22] and [CCS22].
Keywords:
solutions forced;
forced navier;
critical solutions;
onsager critical;
navier stokes;
stokes equations
Journal Title: Communications on Pure and Applied Analysis
Year Published: 2022
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Journal Title: Communications on Pure and Applied Analysis
Year Published: 2022
Link to full text (if available)
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recommendations!