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math.AP2026
On flows generated by square-integrable vector fields
Nikolay A. Gusev, Mikhail V. Korobkov, Evgeny Yu. Panov +1
For square-integrable divergence-free vector field on we prove that the following properties are equivalent: 1) the operator $A_0 ρ= \boldsymbol{v}…
math.AP2026
On chain rule and renormalization
Roman V. Dribas, Nikolay A. Gusev
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 examp…