Tangency plus collar BV and one-sided divergence make zero-extended velocity Ambrosio-admissible for confined RLFs; a boundary-current example shows these hypotheses cannot be jointly relaxed.
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Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains
Tangency plus collar BV and one-sided divergence make zero-extended velocity Ambrosio-admissible for confined RLFs; a boundary-current example shows these hypotheses cannot be jointly relaxed.