[Dottorcomp] Seminari di Matematica Applicata. Martedì 28 settembre, Giacomo Canevari

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F.
Casorati" e Istituto del CNR IMATI "E. Magenes" di Pavia.

Martedì 28 settembre 2021, alle ore 15 precise, presso l'aula Beltrami
del Dipartimento di Matematica, Giacomo Canevari (Università di
Verona)
terrà un seminario dal titolo:

A parabolic Ginzburg-Landau equation for vector fields on surfaces:
vortices and the gradient flow of the renormalised energy.

Il seminario verrà anche trasmesso in diretta su zoom al link
https://us02web.zoom.us/j/87518137128?pwd=eHg2eG9QZUdydFJEU1NESWN5a1lPQT09

Abstract.
In the PDE community, “Ginzburg-Landau equations” is an umbrella term
for a variety of problems which originate as (possibly, simplified)
models from the physics or materials science and share some common
traits from the mathematical point of view. These kind of problems
have been extensively studied since the seminal work by Bethuel,
Brezis and Hélein. In this talk, we will discuss a parabolic
Ginzburg-Landau equation for vector fields on a smooth, compact,
Riemannian surface without boundary. We will show that, in a suitable
asymptotic regime, the energy of the solutions concentrates on a
finite number of points, the vortices, whose evolution is described by
the gradient flow of a suitable scalar function: the so-called
renormalised energy. The talk is based on a joint work with Antonio
Segatti.
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Pagina web dei Seminari di Matematica Applicata
https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/