Vanishing diffusivity uniquely selects the solution of the advection equation for divergence-free BV vector fields singular only at the initial time, including Depauw's non-uniqueness example.
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On vanishing diffusivity selection for the advection equation
Vanishing diffusivity uniquely selects the solution of the advection equation for divergence-free BV vector fields singular only at the initial time, including Depauw's non-uniqueness example.