Mean-field limit of Ginzburg-Landau vortices

Speaker(s)

Remy Rodiac

Affiliation

Université Côte d'Azur

Language of the talk

English

Date

April 29, 2026, 12:30 p.m.

Room

room 4060

Seminar

Seminarium Zakładu Równań i Analizy

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I will discuss how to describe minimizers of the Ginzburg-Landau energy (without magnetic field) when they have an unbounded number of vortices as the parameter \(\epsilon\) goes to zero. This situation can happen for example when we prescribe a Dirichlet boundary data with a degree \(d_\epsilon\) going to \(+\infty\). I will also consider the case of stable critical points and show one way to pass to the limit in the stability condition. Part of this talk is based on a joint work with Amandine Aftalion.

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