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.
Dichotomy Results for the Electromagnetic Schr\"odinger Equation
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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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Equivariant stability of vortices in Manton's Chern-Simons-Schr\"odinger system on the hyperbolic plane
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.