9 citations · 11 across the 6 of their papers we have counts for
7 papers
Global Well-Posedness and Asymptotic Behavior of Energy-Damped Subquintic Wave Equations
Irena Lasiecka, Yanan Li, Vando Narciso
In this article, we consider a wave equation on a bounded three-dimensional domain, featuring a degenerate nonlocal damping mechanism that depends on the system's energy and a sour…
Attractors and Singular Limits for a Quintic Wave Equation with Nonlocal Kelvin--Voigt Damping
Yue Sun, Marcelo M. Cavalcanti, Vando Narciso
In this article, we consider an energy-critical quintic wave equation on a bounded domain with nonlinear and nonlocal Kelvin--Voigt damping of the form $-\|\…
Dynamics of Fractional Wave Equations with Nonlocal Damping
Raúl E. Vidal, Vando Narciso
In this work we study a fractional wave equation with Balakrishnan--Taylor type damping posed on a bounded domain . The model couples the fractional Laplacian…
Dynamics for a viscoelastic beam equation with past history and nonlocal boundary dissipation
Linfang Liu, Vando Narciso, Zhijian Yang
This article aims to study the long-time dynamics of the linear viscoelastic plate equation subject to nonlinear and nonloca…
Stabilizing Energy-Critical Wave Equation to a Finite Dimensional Attractor via Nonlinear Damping
Irena Lasiecka, Vando Narciso
The wave equation with energy critical sources and nonlinear damping defined on a 3D bounded domain is considered. It is shown that the resulting dynamical system admits a global a…
Intrinsic polynomial squeezing for Balakrishnan-Taylor beam models
E. H. Gomes Tavares, M. A. Jorge Silva, V. Narciso +1
We explore the energy decay properties related to a model in extensible beams with the so-called energy damping. We investigate the influence of the nonloncal damping coefficient i…
Dynamics of a class of extensible beams with degenerate and non-degenerate nonlocal damping
Eduardo H. Gomes Tavares, Marcio A. Jorge Silva, Vando Narciso +1
This work is concerned with new results on long-time dynamics of a class of hyperbolic evolution equations related to extensible beams with three distinguished nonlocal nonlinear d…