For 2D vortex-sheet flows, viscous energy dissipation is shown to vanish as viscosity goes to zero, with an explicit rate in a broad setting.
Nussenzveig Lopes, and R Shvydko y, Energy conservation in two-dimensional incompressible ideal flui ds, Communications in Mathematical Physics 348 (2016), no
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Absence of anomalous dissipation for vortex sheets
For 2D vortex-sheet flows, viscous energy dissipation is shown to vanish as viscosity goes to zero, with an explicit rate in a broad setting.