A counterexample of a bounded divergence-free vector field demonstrates that the chain rule for divergence is not sufficient for renormalization of weak solutions to the continuity equation.
Failure of the chain rule for the divergence of bounded vector fields , ISSN =
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On chain rule and renormalization
A counterexample of a bounded divergence-free vector field demonstrates that the chain rule for divergence is not sufficient for renormalization of weak solutions to the continuity equation.