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math.AP2022
Onsager critical solutions of the forced Navier-Stokes equations
Elia Bruè, Maria Colombo, Gianluca Crippa +2
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 dissi…
math.AP2022
Anomalous dissipation and lack of selection in the Obukhov-Corrsin theory of scalar turbulence
Maria Colombo, Gianluca Crippa, Massimo Sorella
The Obukhov-Corrsin theory of scalar turbulence [Obu49, Cor51] advances quantitative predictions on passive-scalar advection in a turbulent regime and can be regarded as the analog…