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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.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…