Special Session 112: Controllability and Stabilization of Partial Differential Equations

Global controllability of the Boussinesq system by using a degenerate temperature control
Vahagn Nersesyan
NYU Shanghai
Peoples Rep of China
Co-Author(s):    Manuel Rissel
Abstract:
We will prove that the 2D incompressible Boussinesq system on the torus is globally approximately controllable via physically localized control appearing only in the temperature equation. In addition, our controls have an explicitly prescribed structure; even without such structural requirements, large data controllability results for Boussinesq flows driven merely by a physically localized temperature profile were so far unknown. The presented method exploits various connections between the model`s underlying transport-, coupling-, and scaling mechanisms. This is a joint work with Manuel Rissel (NYU Shanghai).