17 citations · 21 across the 9 of their papers we have counts for
9 papers
Source reconstruction algorithms for coupled parabolic systems from internal measurements of one scalar state
Cristhian Montoya, Ignacio Brevis, David Bolivar
This paper is devoted to the study of source reconstruction algorithms for coupled systems of heat equations, with either constant or spatially dependent coupling terms, where inte…
Identification of a boundary obstacle in a Stokes fluid with Dirichlet--Navier boundary conditions: external measurements
Louis Breton, Cristhian Montoya, Pedro González-Casanova +1
The problem of identifying an obstruction into a fluid duct has several applications, one of them, for example in medicine the presence of Stenosis in coronary vessels is a life th…
A numerical study of third-order equation with time-dependent coefficients: KdVB equation
Cristhian Montoya, Carlos Spa
In this article we present a numerical analysis for a third-order differential equation with non-periodic boundary conditions and time-dependent coefficients, namely, the linear Ko…
Robust Stackelberg Controllability for the Kuramoto-Sivashinsky Equation
Cristhian Montoya, Louis Breton
In this article the robust Stackelberg controllability (RSC) problem is studied for a nonlinear fourth-order parabolic equation, namely, the Kuramoto-Sivashinsky equation. When thr…
Analysis and optimal control of a malaria mathematical model under resistance and population movement
Cristhian Montoya, Jhoana P. Romero-Leiton
In this work, two mathematical models for malaria under resistance are presented. More precisely, the first model shows the interaction between humans and mosquitoes inside a patch…
Remarks on local controllability for the Boussinesq system with Navier boundary condition
Cristhian Montoya
This note deals with the local exact controllability to a particular class of trajectories for the Boussinesq system with nonlinear Navier-slip boundary conditions and internal con…
Local Exact Controllability to the Trajectories of the Korteweg-de Vries-Burgers Equation on a Bounded Domain with Mixed Boundary Conditions
Eduardo Cerpa, Cristhian Montoya, Bingyu Zhang
This paper studies the internal control of the Korteweg-de Vries-Burgers (KdVB) equation on a bounded domain. The diffusion coefficient is time-dependent and the boundary condition…
RBFs methods for null control problems of the Stokes system with Dirichlet and Navier slip boundary conditions
Pedro González Casanova, Louis Breton, Cristhian Montoya
The purpose of this article is to introduce radial basis function, (RBFs), methods for solving null control problems for the Stokes system with few internal scalar controls and Dir…
Robust Stackelberg controllability for the Navier--Stokes equations
C. Montoya, L. de Teresa
In this paper we deal with a robust Stackelberg strategy for the Navier--Stokes system. The scheme is based in considering a robust control problem for the "follower control" and i…