Global attractor for two-dimensional weakly damped nonlinear parametric Klein-Gordon Schrodinger system

We consider a damped forced nonlinear Klein-Gordon Schr {ö}dinger (KGS) system known as the parametric KGS system with Yukawa coupling where the space variable belongs to R 2 . We prove the existence of a global attractor in dimension 2. Moreover we prove that this global attractor is regular and has finite fractal dimension.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-11-02
DOI
https://doi.org/10.48550/arxiv.2611.03134
Primary Topic
Stability and Controllability of Differential Equations
Type
preprint
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preprint

Global attractor for two-dimensional weakly damped nonlinear parametric Klein-Gordon Schrodinger system

Olivier Goubet, marilena poulou
arXiv (Cornell University)
Stability and Controllability of Differential Equations
preprint

Global attractor for two-dimensional weakly damped nonlinear parametric Klein-Gordon Schrodinger system

Olivier Goubet, marilena poulou
preprint en

Abstract

We consider a damped forced nonlinear Klein-Gordon Schr {ö}dinger (KGS) system known as the parametric KGS system with Yukawa coupling where the space variable belongs to R 2 . We prove the existence of a global attractor in dimension 2. Moreover we prove that this global attractor is regular and has finite fractal dimension.

arXiv (Cornell University)
Stability and Controllability of Differential Equations
DOIOpen Access PDFOpenAlex
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Global attractor for two-dimensional weakly damped nonlinear parametric Klein-Gordon Schrodinger system — Olivier Goubet, marilena poulou · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS