Local exact controllability for Navier-Stokes-Korteweg modelin dimension $d\in\{2,3\}$
Language
en
Document de travail - Pré-publication
English Abstract
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 ...Read more >
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.Read less <
Origin
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