2 papers
math.AP2026
Nontrivial absolutely continuous part of anomalous dissipation measures in time
Carl Johan Peter Johansson, Massimo Sorella
We positively answer Question 2.2 and Question 2.3 in [Bruè, De Lellis, 2023] in dimension by building new examples of solutions to the forced incompressible Navier-Stoke…
math.AP2025
Anomalous dissipation via spontaneous stochasticity with a two-dimensional autonomous velocity field
Carl Johan Peter Johansson, Massimo Sorella
We study anomalous dissipation in the context of passive scalars and we construct a two-dimensional autonomous divergence-free velocity field in (with arbitrar…