Controllability of the 3D compressible Euler system

Hayk Nersisyan (1)

1 AGM - UMR 8088 - Analyse, Géométrie et Modélisation

The paper is devoted to the controllability problem for 3D compressible Euler system. The control is a finite-dimensional external force acting only on the velocity equation. We show that the velocity and density of the fluid are simultaneously controllable. In particular, the system is approximately controllable and exactly controllable in projections

Domaines: Equations aux dérivées partielles [math.AP]; Optimisation et contrôle [math.OC]

Hayk Nersisyan. Controllability of the 3D compressible Euler system. 2010. ⟨hal-00430175v2⟩