Local Exact Controllability for the One-Dimensional Compressible Navier–Stokes Equation
Guerrero, Sergio; Glass, Olivier; Puel, Jean-Pierre; Ervedoza, Sylvain (2012), Local Exact Controllability for the One-Dimensional Compressible Navier–Stokes Equation, Archive for Rational Mechanics and Analysis, 206, 1, p. 189-238. http://dx.doi.org/10.1007/s00205-012-0534-3
TypeArticle accepté pour publication ou publié
External document linkhttps://hal.archives-ouvertes.fr/hal-00782475
Journal nameArchive for Rational Mechanics and Analysis
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Abstract (EN)In this paper we deal with the isentropic (compressible) Navier-Stokes equation in one space dimension and we adress the problem of the boundary controllability for this system. We prove that we can drive initial conditions which are sufficiently close to some constant states to those constant states. This is done under some natural hypotheses on the time of control and on the regularity on the initial conditions.
Subjects / Keywordscontrollability; fluid mechanics; boundary control; PDE control
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Some exact controllability results for the linear KdV equation and uniform controllability in the zero-dispersion limit Glass, Olivier; Guerrero, Sergio (2008) Article accepté pour publication ou publié