Calculus of Variations and Geometric Measure Theory

M. Caselli - N. Picenni

Saddle solution to the complex Ginzburg-Landau system in three dimensions

created by picenni on 18 Sep 2025
modified on 19 Mar 2026

[BibTeX]

Published Paper

Inserted: 18 sep 2025
Last Updated: 19 mar 2026

Journal: J. Differential Equations
Volume: 467
Year: 2026
Doi: https://doi.org/10.1016/j.jde.2026.114332

ArXiv: 2509.13935 PDF

Abstract:

We construct an entire saddle solution to the non-magnetic 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.