Limiting dynamics for stochastic complex Ginzburg-Landau systems with time-varying delays on unbounded thin domains

Abstract

This study deals with the limiting dynamics for stochastic complex Ginzburg-Landau systems with time-varying delays and multiplicative noise on unbounded thin domains. We first prove the existence and uniqueness of pullback tempered random attractors for the systems and then establish the upper semicontinuity of these attractors when the thin domains collapse onto R{\mathbb{R}}.

Keywords

• thin domain
• complex ginzburg-landau equations
• time-varying delays
• random attractor
• upper semicontinuity
• 35b40
• 35b41
• 37l30