4 papers
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…
Stability and Finite-Time Blow-Up for a Fractionally Damped Nonlinear Plate Equation: Numerical and Analytical Insights
Iqra Kanwal, Jianghao Hao, Muhammad Fahim Aslam +1
This paper studies a nonlinear plate equation with internal fractional damping and a time-delay term, driven by a polynomial-type nonlinear source. Such a model arises naturally in…
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.…
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…