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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 symmetric systems of transport equations
Evgeny Yu. Panov
We study a symmetric system of transport equations with solenoidal coefficients. This system reduces to an evolutionary equation with a skew-symmetric spatial operator in the real…