Controllability of the 3D compressible Euler system
Hayk Nersisyan (AGM)
TL;DR
This paper investigates the controllability of the 3D compressible Euler system, demonstrating that both velocity and density can be controlled simultaneously using finite-dimensional external forces, achieving approximate and exact controllability in projections.
Contribution
It establishes the simultaneous controllability of velocity and density in the 3D compressible Euler system with finite-dimensional controls, a novel result in fluid control theory.
Findings
Velocity and density are simultaneously controllable.
The system is approximately controllable.
The system is exactly controllable in projections.
Abstract
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
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNavier-Stokes equation solutions · Stability and Controllability of Differential Equations · Control and Dynamics of Mobile Robots