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.
Ambrosio, Transport equation and Cauchy problem for BV vector fields, Invent
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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.