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math.AP2026
Regularity estimates in transport equations via heat flow and quantitative differentiation
Elia Brué, Maria Colombo, Guido De Philippis +1
The purpose of this note is twofold. First, we prove quantitative estimates for the Ambrosio-Trevisan commutator which implies propagation of logarithmic Sobolev regularity. Second…
math.DS2026
Topological entropy is generically infinite for non-Lipschitz velocity fields
Carl Johan Peter Johansson, Giulia Mescolini
We prove that for any Osgood non-Lipschitz modulus of continuity , flow maps associated with time-periodic -continuous velocity fields generically (in the sense of Baire) hav…