4 papers
Exponential stability for the nonlinear Schrödinger equation with locally distributed damping
Marcelo M. Cavalcanti, Wellington J. Corrêa, Türker Özsari +2
In this paper, we study the defocusing nonlinear Schrödinger equation with a locally distributed damping on a smooth bounded domain as well as on the whole space and on an exterior…
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…
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…
Complex Ginzburg-Landau equations with dynamic boundary conditions
Wellington José Corrêa, Türker Özsarı
The initial-dynamic boundary value problem (idbvp) for the complex Ginzburg-Landau equation (CGLE) on bounded domains of is studied by converting the given mathemati…