Trimming null sets makes images of Borel sets measurable under DiPerna-Lions flows with classical measure evolution, enabling Reynolds transport theorem for generalized flow maps.
Bothe, On moving hypersurfaces and the discontinuous ODE-system associated with two-phase flows, Nonlinearity33(2020), pp
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Co-moving volumes and Reynolds transport theorem in DiPerna-Lions theory
Trimming null sets makes images of Borel sets measurable under DiPerna-Lions flows with classical measure evolution, enabling Reynolds transport theorem for generalized flow maps.