Gianluca Crippa

collaborators

3 papers

math.AP2025

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…

math.AP2024

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…

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

Normal traces and applications to continuity equations on bounded domains

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