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

Fuente: arXiv
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Auteurs principaux: Caselli, Michele, Picenni, Nicola
Format: Preprint
Publié: 2025
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author Caselli, Michele
Picenni, Nicola
author_facet Caselli, Michele
Picenni, Nicola
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_13935
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Saddle solution to the complex Ginzburg-Landau system in three dimensions
Caselli, Michele
Picenni, Nicola
Analysis of PDEs
35Q56, 35B08, 35J50
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.
title Saddle solution to the complex Ginzburg-Landau system in three dimensions
topic Analysis of PDEs
35Q56, 35B08, 35J50
url https://arxiv.org/abs/2509.13935