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20212026
most citedNon-uniqueness of Leray solutions of the forced Navier-Stokes equations

13 citations · 19 across the 8 of their papers we have counts for

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math.AP2026

Flexibility for the SQG Equation with an Active Scalar

Elia Bruè, Rui Jin, Quoc-Hung Nguyen

We develop a new convex-integration scheme, inspired by \cite{BCK26}, for the inviscid surface quasi-geostrophic equation on the two-dimensional torus. For the explicit, nonoptimiz…

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.DG2026

Topology of two-dimensional collapsed spaces with lower Ricci bounds

Elia Bruè, Qin Deng

We prove that collapsed metric measure spaces with Ricci curvature bounded below and essential dimension two are topological surfaces, possibly with boundary.