Analyse, analyse numérique et contrôle des milieux continus

Contrôlabilité à zéro de l’équation linéaire de Kuramoto-Sivashinsky sur des arbres étoilés /Null-controllability results for the linear Kuramoto-Sivashinsky equation on star-shaped trees

23 mai 2018, 11:30

1h

Orateur

Cristian Cazacu (U. de Bucarest/ICUB & IMAR, Roumanie)

Description

In this talk we discuss null-controllability properties for the linear Kuramoto-Sivashinsky equation on a star-shaped tree with two types of boundary conditions, with boundary controls acting on the external vertices of the tree. Roughly speaking, we show that with few exceptions (when the so-called anti-diffusion parameter belongs to a countable critical set) at any positive time the system is null-controllable when acting with controls on a part of the external vertices. We point out that the critical set for which the null-controllability fails differs from the first model to the second one.

This is a joint work with Liviu Ignat (``Simion Stoilow" Institute of Mathematics of the Romanian Academy, Romania) and Ademir Pazoto (Universidade Federal do Rio de Janeiro, Brasil).

Partially supported by a Young Researchers Grant awarded by ICUB (The Research Institute of the University of Bucharest) and CNCS-UEFISCDI Grant No. PN-III-P4-ID-PCE-2016-0035.