Special Session 99: Emerging Trends in Analysis and Control of PDEs

Stability and Well-Posedness of Korteweg-de Vries-Burgers Equations with Delayed Feedback
Ibtissam Issa
University of L`Aquila
Italy
Co-Author(s):    
Abstract:
This talk is devoted to the analysis of generalized Korteweg-de Vries-Burgers equations with delayed feedback and damping. Using semigroup methods and Lyapunov techniques, we establish well-posedness results and investigate the long-time behavior of solutions. In particular, we derive exponential decay estimates under suitable assumptions on the delay term and the system parameters. The analysis highlights how delay effects influence stability properties and provides conditions ensuring robust stabilization, even in challenging settings.