Saddle solution to the complex Ginzburg-Landau system in three dimensions
Analysis of PDEs
2025-09-18 v1
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.
Cite
@article{arxiv.2509.13935,
title = {Saddle solution to the complex Ginzburg-Landau system in three dimensions},
author = {Michele Caselli and Nicola Picenni},
journal= {arXiv preprint arXiv:2509.13935},
year = {2025}
}
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