4 papers · 1 filter
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…
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(…
Numerical study of a Transmission Problem in Elasticity with kind damping
Kais Ammari, Vilmos Komornik, Mauricio Sepúlveda +1
We investigate a transmission problem featuring a specific type of damping. Our primary focus is on analyzing the asymptotic behavior of the associated semigroup, $({\mathcal S}_{\…
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…