An entire solution to the Ginzburg-Landau system in three dimensions with a singular nodal set

Speaker:  dott. Nicola Picenni - Università degli Studi di Pisa
  Monday, September 29, 2025 at 11:30 AM Aula E

We show how to construct an entire saddle solution to the complex Ginzburg-Landau system in three dimensions, whose zero set is the union of two perpendicular, intersecting lines, and whose blow-downs concentrate on these lines with multiplicity one. This is achieved as the limit of a sequence of minimum problems in a space of functions with suitable symmetries. The talk is based on a joint work with Michele Caselli (SNS).


Programme Director
Giacomo Canevari

External reference
Publication date
September 9, 2025

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