2 citations · 2 across the 10 of their papers we have counts for
9 papers
Asymptotic behavior of the wave equation subject to a Kelvin-Voigt nonlocal damping
Marcelo Cavalcati, Valéria Domingos Cavalcanti, Josiane Faria +1
In this article, we examine the well-posedness and asymptotic behavior of the energy associated with the wave equation that incorporates a Kelvin-Voigt nonlocal damping structure g…
From Linear to Nonlinear: A Resolvente criterion for Polynomial Stability of Semigroups Generated by Monotone Operators
Marcelo M. Cavalcanti, Valéria N. Domingos Cavalcanti, Jaime E. Munõz Rivera
The Borichev--Tomilov theorem \cite{BT2010} provides a sharp characterization of polynomial decay for linear -semigroups in terms of resolvent growth along the imaginary axis.…
Wellposedness and asymptotic behavior of solutions for the quintic wave equation with nonlocal dissipation
Marcelo Cavalcanti, Valéria Domingos Cavalcanti, Josiane Faria +1
We investigate a semilinear wave equation with energy-critical nonlinearity and a nonlinear damping mechanism driven by the total energy of the system. The model combines the quint…
The Quintic Wave Equation with Kelvin-Voigt Damping: Strichartz estimates, Well-posedness and Global Stabilization
Marcelo Moreira Cavalcanti, Valeria Neves Domingos Cavalcanti
We study the three-dimensional energy-critical quintic wave equation with localized Kelvin--Voigt damping. While the viscoelastic dissipation provides a remarkably efficient mechan…
Semi-classical defect measure and internal stabilization for the semilinear wave equation subject to Zarembaboundary conditions
Marcelo Cavalcanti, Pierre Cornilleau, Valéria Domingos Cavalcanti +2
In this article we exploite the uniform decay for damped linear wave equation with Zaremba boundary condition, obtained in a previous work, to treat the same problem in nonlinear c…
Exponential decay for the semilinear wave equation with localized Kelvin-Voight damping
Maria Rosario Astudillo Rojas, Marcelo M. Cavalcanti, Wellington J. Correa +3
In the present paper, we are concerned with the semilinear viscoelastic wave equation subject to a locally distributed dissipative effect of Kelvin-Voigt type, posed on a bounded d…