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arXiv · 2611.03129

Global attractor for weakly damped nonlinear parametric Klein-Gordon Schr{ö}dinger system

Olivier Goubet·Marilena Poulou
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Abstract

We consider a damped forced nonlinear Klein-Gordon Schr\''{o}dinger (KGS) system known as the parametric KGS system with Yukawa coupling. We prove the regularity of the global attractor for this infinite-dimensional dynamical system, i.e. that the global attractor is included into a smaller Sobolev space than the energy space. We prove that this global attractor has finite fractal dimension, without any assumption on the decay of the forcing terms.

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Olivier Goubet, Marilena Poulou. 2026-11-02. Global attractor for weakly damped nonlinear parametric Klein-Gordon Schr{ö}dinger system. https://arxiv.org/abs/2611.03129

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