Polynomial Complex Ginzburg-Landau equations in almost periodic spaces
arXiv:2211.03746 · doi:10.46298/cm.10279
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.