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arXiv · 2211.03746

Polynomial Complex Ginzburg-Landau equations in almost periodic spaces

Agustin Besteiro
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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.

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Agustin Besteiro. 2022-11-07. Polynomial Complex Ginzburg-Landau equations in almost periodic spaces. https://doi.org/10.46298/cm.10279

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