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Global attractor for weakly damped nonlinear parametric Klein-Gordon Schr{ö}dinger system
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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BibTeX
@misc{goubet2026global,
title = {{Global attractor for weakly damped nonlinear parametric Klein-Gordon Schrödinger system}},
author = {Olivier Goubet and Marilena Poulou},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03129},
eprint = {2611.03129},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03129},
}
RIS
TY - UNPB
TI - Global attractor for weakly damped nonlinear parametric Klein-Gordon Schr{ö}dinger system
AU - Olivier Goubet
AU - Marilena Poulou
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03129
UR - https://arxiv.org/abs/2611.03129
AB - 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.
ER -