3 papers
math.AP2026
Stability and blow-up for a suspension bridge plate model with fractional damping and memory
Iqra Kanwal, Jianghao Hao, Muhammad Fahim Aslam +3
We investigate a suspension bridge model described by a nonlinear plate equation incorporating internal fractional damping and infinite memory effects. The system also includes a n…
math.AP2023
Boundary stabilization of the Korteweg-de Vries-Burgers equation with an infinite memory-type control and applications: a qualitative and numerical analysis
Boumediène Chentouf, Aissa Guesmia, Mauricio A Sepulveda Cortes +1
This article is intended to present a qualitative and numerical analysis of well-posedness and boundary stabilization problems of the well-known Korteweg-de Vries-Burgers equation.…
math.AP2019
Uniform decay rates for a suspension bridge with locally distributed nonlinear damping
Andre D. Domingos Cavalcanti, Marcelo M. Cavalcanti, Wellington J. Correa +3
We study a nonlocal evolution equation modeling the deformation of a bridge, either a footbridge or a suspension bridge. Contrarily to the previous literature we prove the asymptot…