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most citedA simple proof of linear instability of shear flows with application to vortex sheets

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math.AP2026

Sharpness of the Osgood Criterion for the Continuity Equation with Divergence-free Vector Fields

Roberto Colombo, Anuj Kumar

For any modulus of continuity that fails the Osgood condition, we construct a divergence-free velocity field for which the associated ODE admits at least two…