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Dichotomy Results for the Electromagnetic Schr\"odinger Equation

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arxiv 2412.20239 v1 pith:2ZPYVOHZ submitted 2024-12-28 math.AP

Magdalena Czubak , Ian Miller , Svetlana Roudenko This is my paper · ORCID
classification math.AP
keywords equationodingerschrelectromagneticemnlsnonlineararticleblow-up
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The electromagnetic nonlinear Schr\"odinger (emNLS) equation is a variant of the well-studied nonlinear Schr\"odinger equation. In this article, we consider questions of global existence or blow-up for emNLS in dimensions 3 and higher.

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  1. Equivariant stability of vortices in Manton's Chern-Simons-Schr\"odinger system on the hyperbolic plane

    math.AP 2025-09 conditional novelty 6.0 of 10

    For each degree m≥1, sufficiently small equivariant perturbations of the m-vortex in Manton's self-dual Chern-Simons-Schrödinger model on H² yield a global solution with uniform Strichartz bounds.

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