42 citations · 111 across the 34 of their papers we have counts for
41 papers
The semilinear suspension bridge model with pointwise dissipation
Vilmos Komornik, Jaime E. Munoz Rivera
This paper is devoted to the analysis of a semilinear suspension bridge model with pointwise localized dissipation. The main contribution of the work is the development of a robust…
Numerical stabilization for a mixture system with kind damping
Kais Ammari, Vilmos Komornik, Mauricio Sepúlveda +1
In this paper, we conduct a numerical analysis of the strong stabilization and polynomial decay of solutions for the initial boundary value problem associated with a system that mo…
Topology of univoque sets in double-base expansions
Vilmos Komornik, Yichang Li, Yuru Zou
Given two real numbers satisfying and two real numbers , by a {double-base expansion} of a real number we mean a sequence $(i_k)\in…
Stability of the Rao-Nakra sandwich beam with a dissipation of fractional derivative type: theoretical and numerical study
Kaïs Ammari, Vilmos Komornik, Mauricio Sepúlveda +1
This paper is devoted to the solution and stability of a one-dimensional model depicting Rao--Nakra sandwich beams, incorporating damping terms characterized by fractional derivati…
Observability of the linear Zakharov--Kuznetsov equation
Roberto de A. Capistrano Filho, Vilmos Komornik, Ademir F. Pazoto
We study the linear Zakharov--Kuznetsov equation with periodic boundary conditions. Employing some tools from the nonharmonic Fourier series we obtain several internal observabilit…
A qualitative study of the generalized dispersive systems with time-delay: The unbounded case
Roberto de A. Capistrano Filho, Fernando Gallego, Vilmos Komornik
We study the asymptotic behavior of the solutions of the time-delayed higher-order dispersive nonlinear differential equation \begin{equation*} u_t(x,t)+Au(x,t) +λ_0(x) u(x,t)+λ(x)…