Global attractor for weakly damped nonlinear parametric Klein-Gordon Schrödinger system
Abstract
We consider a damped forced nonlinear Klein-Gordon Schrödinger (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.
Fields of Study & Subjects
Nonlinear Photonic Systems
Advanced Mathematical Physics Problems
Stability and Controllability of Differential Equations
Publication details
- Journal / source
- Discrete and Continuous Dynamical Systems - S
- Volume
- 26
- Issue
- 0
- Pages
- 288–302
- Publication date
- 1 January 2026