Controls insensitizing the observation of a quasi-geostrophic ocean model

We consider a linear quasi-geostrophic ocean model with partially known initial conditions. We search for controls that make the observation locally insensitive to the perturbations of the initial data. Their existence is equivalent to the null controllability property for an associated cascade Stokes-like system. Thanks to the presence of the Coriolis term, we are able to prove the existence of such controls. Our strategy is the following. First, we prove a unique continuation property for the adjoint of the state system that leads to approximate controllability; then, under certain assumptions, an observability inequality is established for the adjoint. The proof is inspired by the arguments leading to the unique continuation property. This inequality leads to the desired null controllability result.Ministerio de Educación y CienciaFondo de Financiamiento de Centros de Investigación en Áreas PrioritariasComisión Nacional de Investigación Científica y Tecnológic

Insensitizing controls for a large-scale ocean circulation model

We consider here a linear quasi-geostrophic ocean model. We look for controls insensitizing (resp. ε-insensitizing) an observation function of the state. The existence of such controls is equivalent to a null controllability property (resp. an approximate controllability property) for a cascade Stokes-like system. Under reasonable assumptions on the spatial domains where the observation and the control are performed, we are able to prove these properties.Dirección General de Enseñanza SuperiorFondo de Financiamiento de Centros de Investigación en Áreas Prioritarias (Chile)Comisión Nacional de Investigación Científica y Tecnológica (Chile