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20172024
most citedLocal Exact Controllability to the Trajectories of the Korteweg-de Vries-Burgers Equation on a Bounded Domain with Mixed Boundary Conditions

17 citations · 21 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.OC2024

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…

math.OC2022★ 1 cited

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…

math.OC2020★ 1 cited

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…

math.OC2019

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…

math.OC2019★ 17 cited

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…

math.OC2017

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…