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math.AP2022
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…
math.AP2020
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…
math.AP2016
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…