Local exact controllability for Navier-Stokes-Korteweg modelin dimension $d\in\{2,3\}$
Langue
en
Document de travail - Pré-publication
Résumé en anglais
In this paper, we investigate the local null controllability for a compressible Navier-Stokes-Korteweg with quantum pressure indimension $d\in\{2,3\}$, when the control acts on the whole boundary of a domain or on a subdomain ...Lire la suite >
In this paper, we investigate the local null controllability for a compressible Navier-Stokes-Korteweg with quantum pressure indimension $d\in\{2,3\}$, when the control acts on the whole boundary of a domain or on a subdomain of a torus. We obtain thelocal null controllability for the velocity and the fluctuation of the density, for all positive times, according to the hidden parabolicstructure of the equation. This contrasts with standard control properties for the compressible Navier-Stokes equation.To the best of our knowledge, this is the first work concerning the controlability of Korteweg type system for compressible fluids.< Réduire
Origine
Importé de halUnités de recherche