Orateur
Jérôme Le Rousseau
(Paris, France)
Description
Neglecting the inertial term in the Navier–Stokes system leads to the Stokes system. We are interested in observing this system from an interior region of a domain. We consider general boundary conditions that include, for instance, the commonly used Dirichlet, Navier, and Neumann conditions. Observation is achieved through a local Carleman estimate near a boundary point, derived from the full system, including the pressure term. We begin by reviewing how boundary estimates can be obtained for first-order scalar operators. Then, we show how various scalar reductions of the Stokes system can lead to such first-order equations, by means of eigenvectors and generalized eigenvectors.
This is joint work with Luc Robbiano.
Author
Jérôme Le Rousseau
(Paris, France)
