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Seminario di Equazioni Differenziali e Applicazioni: “On the nonlocal to local limit for conservation laws”

Mercoledì 15 Marzo 2017, ore 12:00 - Aula 2BC30 - Laura Spinolo

ARGOMENTI: Seminari

Mercoledì 15 Marzo 2017 alle ore 12:00 in Aula 2BC30, Laura Spinolo (IMATI-CNR, Pavia) terrà un seminario dal titolo “On the nonlocal to local limit for conservation laws”.

Abstract
Consider a family of continuity equations where the velocity field is given by the convolution of the solution with a regular kernel. In the singular limit where the convolution kernel is replaced by a Dirac delta, one formally recovers a conservation law. My talk will aim at discussing the behavior of the solutions of the nonlocal continuity equation in the singular limit. I will recall some positive results and discuss some recent counter-examples. I will also discuss the nonlocal to local limit for a related family of continuity equations with a viscous second order term. The talk will be based on joint work with Maria Colombo and Gianluca Crippa.

Rif. Int. M. Bardi, C. Marchi, L. Caravenna

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