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math.AP2024
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 arbitrary…
math.AP2024
Dissipation enhancing properties for a class of Hamiltonian flows with closed streamlines
Michele Dolce, Carl Johan Peter Johansson, Massimo Sorella
We study the evolution of a passive scalar subject to molecular diffusion and advected by an incompressible velocity field on a 2D bounded domain. The velocity field is $u = \nabla…