On self-similar singular solutions of the complex Ginzburg-Landau equation
Plechac, Petr ; Sverak, Vladimir
arXiv, 0007149 / Harvested from arXiv
Text on arXiv
We address the open problem of existence of singularities for the complex Ginzburg-Landau equation. Using a combination of rigourous results and numerical computations, we describe a countable family of self-similar singularities. Our analysis includes the super-critical non-linear Schroedinger equation as a special case, and most of the described singularities are new even in that situation. We also consider the problem of stability of these singularities.
Publié le : 2000-07-25
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  35Q55 
@article{0007149,
     author = {Plechac, Petr and Sverak, Vladimir},
     title = {On self-similar singular solutions of the complex Ginzburg-Landau
  equation},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0007149}
}

Plechac, Petr; Sverak, Vladimir. On self-similar singular solutions of the complex Ginzburg-Landau
  equation. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0007149/