Gianluca Crippa

collaborators

3 papers

math.AP2026

Normal traces and applications to continuity equations on bounded domains

Gianluca Crippa, Luigi De Rosa, Marco Inversi +1

In this work, we study several properties of the normal Lebesgue trace of vector fields introduced by the second and third author in [22] in the context of the energy conservation…

math.AP2026

Introduction to the theory of mixing for incompressible flows

Gianluca Crippa

In these lecture notes, we provide an introduction to the theory of mixing for incompressible flows from a PDE perspective. We discuss both the Lagrangian (ODE) and Eulerian (PDE,…

math.PR2025

Zero-noise selection and Large Deviations in $L_{t}^{\infty} L_{x}^{p}$ for the stochastic transport equation beyond DiPerna-Lions

Gianluca Crippa, Eliseo Luongo, Umberto Pappalettera

We consider $L_{t}^{\infty} L_{x}^{p}$ solutions of the stochastic transport equation with drift in $L_{t}^{\infty} W_{x}^{1, q}$ . We show strong existence and pathwise uniqueness of solutions in…

Normal traces and applications to continuity equations on bounded domains

Introduction to the theory of mixing for incompressible flows

Zero-noise selection and Large Deviations in Lt∞​Lxp​ for the stochastic transport equation beyond DiPerna-Lions

Zero-noise selection and Large Deviations in $L_{t}^{\infty} L_{x}^{p}$ for the stochastic transport equation beyond DiPerna-Lions