Quantized vortex dynamics of the complex Ginzburg-Landau equation on the torus

DOI10.1016/j.jde.2024.05.031zbMath1545.35191MaRDI QIDQ6584941

Yongxing Zhu

Publication date: 8 August 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

complex Ginzburg-Landau equationrenormalized energyquantized vortexcanonical harmonic mapreduced dynamical lawvortex path

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Analyticity in context of PDEs (35A20) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Statistical mechanics of superfluids (82D50) Vortex methods applied to problems in fluid mechanics (76M23) Ginzburg-Landau equations (35Q56)

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