3 papers
math.AP2026
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 $-\|\…
math.AP2026
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.…
math.AP2026
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…