Polynomial Complex Ginzburg-Landau equations in almost periodic spaces
Analysis of PDEs
2023-06-22 v3
Abstract
We consider Complex Ginzburg-Landau equations with a polynomial nonlinearity in the real line. We use splitting-methods to prove well-posedness for a subset of almost periodic spaces. Specifically, we prove that if the initial condition has multiples of an irrational phase, then the solution of the equation maintains those same phases.
Keywords
Cite
@article{arxiv.2211.03746,
title = {Polynomial Complex Ginzburg-Landau equations in almost periodic spaces},
author = {Agustin Besteiro},
journal= {arXiv preprint arXiv:2211.03746},
year = {2023}
}