Transport, Fluids and Mixing

Strong convergence of the vorticity for the 2D Euler equations in the inviscid limit

speaker: Gennaro Ciampa (Basque Center for Applied Mathematics)

abstract: The goal of this talk is to study the inviscid limit of a fam- ily of solutions of the 2D Navier-Stokes equations towards a renormal- izedLagrangian solution of the Euler equations. First I will prove the uniform-in-time Lp convergence in the setting of unbounded vorticities. Then I will show that it is also possible to obtain a rate in the class of solutions with bounded vorticity. The proofs are based on the stochastic Lagrangian formulation of the incompressible Navier-Stokes equations. In particular, the results are achieved by studying the zero-noise limit from stochastic towards deterministic flows of irregular vector fields. This is joint work with G. Crippa (Universita ̈t Basel) and S. Spirito (Universita` degli Studi dell’Aquila).

timetable:
Wed 26 Jan, 14:40 - 15:10,
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