4 papers
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(…
Boundary Exponential Stabilization for the Linear KP-II equation without Critical Size Restrictions
F. A. Gallego, J. R. Muñoz
In this paper, we delve into the intricacies of boundary stabilization for the linearized KP-II equation within the constraints of a bounded domain, a phenomenon known as ``critica…
Global Stabilization for the BBM-KP equations on R2
F. A. Gallego, V. H. Gonzalez Martinez, J. C. Muñoz Grajales
In this paper, we present results on the energy decay of the BBM-KP equations (I and II) posed on with localized damping. This model offers an alternative to the KP equation…
Boundary Effects on the Controllability of Coupled KdV Systems
F. A. Gallego, A. F. Pazoto, I. Rivas
We study the exact boundary controllability of a nonlinear coupled system of two Korteweg-de Vries equations on a bounded interval. The model describes the interactions of two weak…