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Article Dans Une Revue Communications in Partial Differential Equations Année : 2016

Local exact controllability for the 2 and 3-d compressible Navier-Stokes equations

Résumé

The goal of this article is to present a local exact controllability result for the 2 and 3-dimensional compressible Navier-Stokes equations on a constant target trajectory when the controls act on the whole boundary. Our study is then based on the observability of the adjoint system of some linearized version of the system, which is analyzed thanks to a subsystem for which the coupling terms are somewhat weaker. In this step, we strongly use Carleman estimates in negative Sobolev spaces.
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Dates et versions

hal-01245889 , version 1 (17-12-2015)

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Sylvain Ervedoza, Olivier Glass, Sergio Guerrero. Local exact controllability for the 2 and 3-d compressible Navier-Stokes equations. Communications in Partial Differential Equations, 2016, 41 (11), pp.1660-1691. ⟨hal-01245889⟩
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