English

Construction of blowup solutions for the Complex Ginzburg-Landau equation with critical parameters

Analysis of PDEs 2020-03-30 v2

Abstract

We construct a solution for the Complex Ginzburg-Landau (CGL) equation in a general critical case, which blows up in finite time T only at one blow-up point. We also give a sharp description of its profile.

Keywords

Cite

@article{arxiv.1912.05922,
  title  = {Construction of blowup solutions for the Complex Ginzburg-Landau equation with critical parameters},
  author = {Giao Ky Duong and Nejla Nouaili and Hatem Zaag},
  journal= {arXiv preprint arXiv:1912.05922},
  year   = {2020}
}

Comments

85 pages. arXiv admin note: substantial text overlap with arXiv:1703.00081