Weakly sentinel involving a Navier-Stokes problem and detecting pollution

Abstract EN

In this paper, we consider a Navier-Stokes system with missing initial data condition and perturbuted term or pollution term.

The notion of sentinel is introduced in the study of the problems with incomplete data by J.L.Lions [12].

The construction of sentinel is based on the existence and uniqueness of the adjoint system solution which is exactly controllability.

In this work, we introduced the weakly sentinel can be associated to this system and allows to characterize this pollution.