Controllability of the 3D compressible Euler system

2009/11/07 by Hayk H. Nersisyan, Nersisyan, Hayk · 3 citations
Engineering · Mathematics · #Analysis of PDEs (math.AP) #Control and Dynamics of Mobile Robots #FOS: Mathematics #Navier-Stokes equation solutions #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · doi:10.48550/arxiv.0911.1446

openalex publication_date 2009/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

Cited by

• Small-time global controllability of a class of bilinear fourth-order parabolic equations
• Global controllability of the Cahn-Hilliard equation
• Controllability of Boussinesq flows driven by finite-dimensional and physically localized forces

Related

• Controllability of 3D incompressible Euler equations by a finite-dimensional external force
• A proof of approximate controllability of the 3D Navier-Stokes system\n via a linear test
• Prescribing the motion of a set of particles in a 3D perfect fluid
• Solid Controllability in Fluid Dynamics
• Local exact controllability for the 2 and 3-d compressible Navier-Stokes equations