English

Threshold solutions of the energy-critical complex Ginzburg-Landau equation

Analysis of PDEs 2024-02-29 v1

Abstract

In this article, we consider energy-critical complex Ginzburg-Landau equation in three and four dimensions. We give the dynamics when the energy of the initial data is equal to the energy of the stationary solution.

Keywords

Cite

@article{arxiv.2402.18347,
  title  = {Threshold solutions of the energy-critical complex Ginzburg-Landau equation},
  author = {Xing Cheng and Yunrui Zheng},
  journal= {arXiv preprint arXiv:2402.18347},
  year   = {2024}
}