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AMCS Seminar: Lagrangian solutions of 2D Euler

Start Date: March 15, 2018
End Date: March 15, 2018

By Dr. Stefano Spirito, Assistant Professor in University of L'Aquila, Italy
Lagrangian Solutions of two dimensional Euler equations are, roughly speaking, solutions such that the vorticity is transported by the flow of the velocity. In this talk I will first give an overview regarding the existence of Lagrangian solutions and the equivalence between Lagrangian and Eulerian solutions. Then, I will discuss a recent result with Gianluca Crippa, Camilla Nobili, and Christian Seis concerning the convergence of Navier-Stokes solutions to Lagrangian solutions of the 2D Euler equations in the vanishing viscosity limit. A crucial tool in the proof of this result is a new uniqueness theorem for distributional solutions of linear continuity equations with vector fields whose gradient is a singular integral of an $L^1$ function.
Bio: Stefano Spirito is an Assistant Professor in Mathematics at the University of L’Aquila, Italy, since 2016. His research lies in the analysis of partial differential equations, mainly regarding incompressible and compressible fluids, transport and continuity equations and elasticity. He earned his PhD at the University of L’Aquila in 2012 under the supervision of Prof. Pierangelo Marcati (L’Aquila) and Prof. Luigi C. Berselli (Pisa). Then he moved to Univerisät Basel for a two-years Post-doc in the workgroup of Prof. Gianluca Crippa. Between 2014-2016 he worked at the Gran Sasso Science Institute in L’Aquila.

More Information:

For more info contact: Prof. Athanasios Tzavaras: email:
Date: Thursday 15th Mar 2018
Time: 02:45 PM - 03:45 PM
Location: Building 1, Level 3, Room# 3119
Refreshments: Light refreshments will be served around 2:30 PM