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

Michele Caselli; Nicola Picenni

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arXiv · 2509.13935

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

Michele Caselli·Nicola Picenni

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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.

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Michele Caselli, Nicola Picenni. 2025-09-17. Saddle solution to the complex Ginzburg-Landau system in three dimensions. https://arxiv.org/abs/2509.13935

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