19 citations · 82 across the 18 of their papers we have counts for
18 papers
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 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…
Approximation theorem for the Kawahara operator and its application in control theory
Roberto de A. Capistrano Filho, Luan S. de Sousa, Fernando A. Gallego
Control properties of the Kawahara equation are considered when the equation is posed on an unbounded domain. Precisely, the paper's main results are related to an approximation th…
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)…
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…
The Well-posedness and Controllability of the Generalized Symmetric Regularized Long Wave System
F. A. Gallego, A. Montes
The symmetric regularized long wave system (SRLW) is a model for the weakly nonlinear ion acoustic and space-charge waves, which was introduced by C. Seyler and D. Fenstermacher. I…
Control of Kawahara equation with overdetermination condition: The unbounded cases
Roberto de A. Capistrano Filho, Luan S. de Sousa, Fernando A. Gallego
In this manuscript we consider the internal control problem for the fifth order KdV type equation, commonly called the Kawahara equation, on unbounded domains. Precisely, under cer…
Controllability for Schrödinger type system with mixed dispersion on compact star graphs
Roberto de A. Capistrano-Filho, Márcio Cavalcante, Fernando Gallego
In this work we are concerned with solutions to the linear Schrödinger type system with mixed dispersion, the so-called biharmonic Schrödinger equation. Precisely, we are able to p…
Rapid Exponential Stabilization of a Boussinesq System of KdV--KdV Type
Roberto de A. Capistrano Filho, Eduardo Cerpa, Fernando A. Gallego
This paper studies the exponential stabilization of a Boussinesq system describing the two-way propagation of small amplitude gravity waves on the surface of an ideal fluid, the so…
Forcing operators on star graphs applied for the cubic fourth order Schrödinger equation
Roberto de A. Capistrano Filho, Márcio Cavalcante, Fernando A. Gallego
In a recent article \textit{"Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane", to appear on Pacific Journal of Mathematics [15]}, the authors g…
Lower regularity solutions of the biharmonic Schrödinger equation in a quarter plane
Roberto A. Capistrano-Filho, Márcio Cavalcante, Fernando A. Gallego
This paper deals with the initial-boundary value problem of the biharmonic cubic nonlinear Schrödinger equation in a quarter plane with inhomogeneous Dirichlet-Neumann boundary dat…
On the Stability of the Cauchy Problem of Timoshenko Thermoelastic Systems with Past History: Cattaneo and Fourier Law
Hugo D. Fernandez Sare, Fernando A. Gallego
In this paper, we investigate the decay properties of the thermoelastic Timoshenko system with past history in the whole space where the thermal effects are given by Cattaneo and F…
On the well posedness and large-time behavior of higher order Boussinesq system
R. A. Capistrano-Filho, F. A. Gallego, A. F. Pazoto
A family of Boussinesq systems has been proposed to describe the bi-directional propagation of small amplitude long waves on the surface of shallow water. In this paper, we investi…
Asymptotic behavior of Boussinesq system of KdV-KdV type
Roberto A. Capistrano-Filho, Fernando A. Gallego
This work deals with the local rapid exponential stabilization for a Boussinesq system of KdV-KdV type introduced by J. Bona, M. Chen and J.-C. Saut. This is a model for the motion…
Decay Rates of the Solutions to the Thermoelastic Bresse System of Types I and III
F. A. Gallego, J. E. Muñoz Rivera
In this paper, we study the energy decay for the thermoelastic Bresse system in the whole line with two different dissipative mechanism, given by heat conduction (Types I and III).…
Boundary controllability of a nonlinear coupled system of two Korteweg-de Vries equations with critical size restrictions on the spatial domain
Roberto A. Capistrano-Filho, Fernando A. Gallego, Ademir F. Pazoto
This article is dedicated to improve the controllability results obtained by Cerpa et al. in Commun. Contemp. Math 13 (2011) and by Micu et al. in Commun. Contemp. Math 11 (5) (200…
Neumann Boundary Controllability of the Gear--Grimshaw System With Critical Size Restrictions on the Spacial Domain
Roberto de A. Capistrano-Filho, Fernando A. Gallego, Ademir F. Pazoto
In this paper we study the boundary controllability of the Gear-Grimshaw system posed on a finite domain , with Neumann boundary conditions: \begin{equation} \label{abs} \be…
On the well-posedness and asymptotic behavior of the generalized KdV-Burgers equation
Fernando Andrés Gallego, Ademir Fernando Pazoto
In this paper we are concerned with the well-posedness and the exponential stabilization of the generalized Korteweg-de Vries Burgers equation, posed on the whole real line, under…