5 citations · 14 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
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…
An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound
Rogelio Arancibia, Rodrigo Lecaros, Alberto Mercado +1
In this article we study the inverse problem of recovering a space-dependent coefficient of the Moore-Gibson-Thompson (MGT) equation, from knowledge of the trace of the solution on…
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…
Control of Underwater Vehicles in Inviscid Fluids. I: Irrotational Flows
Rodrigo Lecaros, Lionel Rosier
In this paper, we investigate the controllability of an underwater vehicle immersed in an infinite volume of an inviscid fluid whose flow is assumed to be irrotational. Taking as c…