Quantized vortex dynamics of the complex Ginzburg-Landau equation on torus
Analysis of PDEs
2024-06-25 v1 Dynamical Systems
Abstract
We derive rigorously the reduced dynamical laws for quantized vortex dynamics of the complex Ginzburg-Landau equation on torus when the core size of vortex . The reduced dynamical laws of the complex Ginzburg-Landau equation are governed by a mixed flow of gradient flow and Hamiltonian flow which are both driven by a renormalized energy on torus. Finally, some first integrals and analytic solutions of the reduced dynamical laws are discussed.
Keywords
Cite
@article{arxiv.2304.08301,
title = {Quantized vortex dynamics of the complex Ginzburg-Landau equation on torus},
author = {Yongxing Zhu},
journal= {arXiv preprint arXiv:2304.08301},
year = {2024}
}