6 papers
Discrete Carleman estimates and application to controllability for a fully-discrete parabolic operator with dynamic boundary conditions
Rodrigo Lecaros, Roberto Morales, Ariel Pérez +1
We consider a fully-discrete approximations of 1-D heat equation with dynamic boundary conditions for which we provide a controllability result. The proof of this result is based o…
Assessment of event-triggered policies of nonpharmaceutical interventions based on epidemiological indicators
Carla Castillo-Laborde, Taco de Wolff, Pedro Gajardo +3
Nonpharmaceutical interventions (NPI) such as banning public events or instituting lockdowns have been widely applied around the world to control the current COVID-19 pandemic. Typ…
The stability for an inverse problem of bottom recovering in water-waves
R. Lecaros, J. López-Ríos, J. H. Ortega +1
In this article we deal with a class of geometric inverse problem for bottom detection by one single measurement on the free surface in water--waves. We found upper and lower bound…
A numerical procedure and unified formulation for the adjoint approach in hyperbolic PDE-constrained optimal control problems
Gino I. Montecinos, Juan Lopez-Rios, Jaime H. Ortega +1
The present paper aims at providing a numerical strategy to deal with PDE-constrained optimization problems solved with the adjoint method. It is done through out a unified formula…
Control of underwater vehicles in inviscid fluids--II. Flows with vorticity
Rodrigo Lecaros, Lionel Rosier
In a recent paper, the authors investigated the controllability of an underwater vehicle immersed in an infinite volume of an inviscid fluid, assuming that the flow was irrotationa…
Determination of the calcium channel distribution in the olfactory system
C. Conca, R. Lecaros, J. H. Ortega +1
In this paper we study a linear inverse problem with a biological interpretation, which is modeled by a Fredholm integral equation of the first kind. When the kernel in the Fredhol…