Special Session 98: Control, Inverse problems and Long time dynamics of Evolutionary Systems

Long-time dynamics of KdV-KdV systems
LOUIS TEBOU
Florida International University
USA
Co-Author(s):    
Abstract:
The boundary stabilization problem of the Boussinesq KdV-KdV type system is investigated in this talk. An appropriate boundary feedback law consisting of a linear combination of a damping mechanism and a time-varying delay term is designed. Then, under a small restriction on the length of the spatial domain and the initial data, we show that the energy of the KdV-KdV system decays exponentially.