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17 Dicembre, 2019 15:30
Sezione di Analisi

Long-time asymptotics for evolutionary crystal dislocations models

Matteo Cozzi, University of Bath
Aula seminari 3° piano
Abstract

In this talk, I will discuss a recent result concerning the long-time behavior of solutions to evolutionary Peierls-Nabarro type equations, related to crystal dislocations.
I will present the construction of solutions that, at large times, behave like a superposi- tion of an arbitrary finite number of fundamental dislocations, equally oriented and centered near points that evolve according to a repulsive dynamical system.
This result has been obtained in collaboration with J. D ?avila and M. del Pino (University of Bath).

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Seminari Matematici
a Milano e dintorni