Elia Brué

activity

20172026

most citedPositive solutions of transport equations and classical nonuniqueness of characteristic curves

51 citations · 248 across the 29 of their papers we have counts for

collaborators

Showing 2024 · math.APShow all

2 papers · 2 filters

math.AP2024

Flexibility of Two-Dimensional Euler Flows with Integrable Vorticity

Elia Bruè, Maria Colombo, Anuj Kumar

We propose a new convex integration scheme in fluid mechanics, and we provide an application to the two-dimensional Euler equations. We prove the flexibility and nonuniqueness of $…

math.AP2024

Sharp Nonuniqueness in the Transport Equation with Sobolev Velocity Field

Elia Bruè, Maria Colombo, Anuj Kumar

Given a divergence-free vector field $u \in L_{t}^{\infty} W_{x}^{1, p} (R^{d})$ and a nonnegative initial datum $ρ_{0} \in L^{r}$ , the celebrated DiPerna--Lions theory established…