Joint BCAM-UPV/EHU Analysis and PDE seminar: Strong convergence of the vorticity for the 2D Euler equations in the inviscid limit

Data: Og, Mai 5 2022

Ordua: 17:00

Lekua: BCAM Seminar Room and Online

Hizlariak: Gennaro Ciampa

LOCATION: BCAM Seminar Room and Online

The goal of this talk is to study the inviscid limit of a family of solutions of the 2D Navier-Stokes equations towards a renormalized/Lagrangian solution of the Euler equations. First I will prove the uniform-in-time L^p 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. Finally, I will show that solutions of the Euler equations with L^p vorticity, obtained in the vanishing viscosity limit, conserve the kinetic energy. 

This is joint work with G. Crippa (Universität Basel) and S. Spirito (Università degli Studi dell´Aquila).

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Hizlari baieztatuak:

Gennaro Ciampa

Ez da ekiltaldirik aurkitu.