{"docId":10279,"paperId":10279,"url":"https:\/\/cm.episciences.org\/10279","doi":"10.46298\/cm.10279","journalName":"Communications in Mathematics","issn":"1804-1388","eissn":"2336-1298","volume":[{"vid":673,"name":"Volume 31 (2023), Issue 1"}],"section":[],"repositoryName":"arXiv","repositoryIdentifier":"2211.03746","repositoryVersion":3,"repositoryLink":"https:\/\/arxiv.org\/abs\/2211.03746v3","dateSubmitted":"2022-11-09 03:43:48","dateAccepted":"2022-11-09 12:42:49","datePublished":"2022-11-11 10:44:53","titles":["Polynomial Complex Ginzburg-Landau equations in almost periodic spaces"],"authors":["Besteiro, Agustin"],"abstracts":["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":["Mathematics - Analysis of PDEs","47J35, 35K55, 35K58,"]}