Global existence for a nonlinear Schrödinger-Chern-Simons system on a surface

DOI10.1016/j.anihpc.2006.01.004zbMath1166.35035OpenAlexW1987494396MaRDI QIDQ1002769

Sophia Demoulini

Publication date: 26 February 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78732

zbMATH Keywords

Riemannian manifoldChern-Simons systemGlobal existenceRegularityNonlinear Schrödinger

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Elliptic equations on manifolds, general theory (58J05)

Related Items (11)

Normalized solutions to the Chern-Simons-Schrödinger system ⋮ Energy solution to the Chern-Simons-Schrödinger equations ⋮ Convergence of the self-dual Ginzburg-Landau gradient flow ⋮ Hydrodynamic limits of Manton's Schrödinger system ⋮ Vortex lattice solutions of the ZHK Chern–Simons equations ⋮ An unconstrained Lagrangian formulation and conservation laws for the Schrödinger map system ⋮ Global solutions to time-dependent Ginzburg-Landau-Chern-Simons equations ⋮ Analysis of the adiabatic limit for solitons in classical field theory ⋮ Exponential stability for the locally damped defocusing Schrödinger equation on compact manifold ⋮ Finite difference methods for the one-dimensional Chern-Simons gauged models ⋮ Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system

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