On chain rule and renormalization

Roman V. Dribas; Nikolay A. Gusev

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arXiv · 2606.08330

On chain rule and renormalization

Roman V. Dribas·Nikolay A. Gusev

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Abstract

We discuss the relationship between the chain rule for the divergence operator and the renormalization property for weak solutions of the continuity equation. We construct an example of bounded divergence-free vector field on the plane, which demonstrates that in general the first property is not sufficient for the second one.

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Roman V. Dribas, Nikolay A. Gusev. 2026-06-06. On chain rule and renormalization. https://arxiv.org/abs/2606.08330

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