Exact controllability for the three-dimensional Navier-Stokes equations with the Navier slip boundary conditions

DOI10.1512/IUMJ.2005.54.2557zbMath1091.93002OpenAlexW2164080131MaRDI QIDQ5718063

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Publication date: 13 January 2006

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2005.54.2557

zbMATH Keywords

Navier-Stokes equationsbounded domainsCarleman-type estimatelocal exact internal controllability of steady state solutions

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Flow control and optimization for incompressible viscous fluids (76D55)

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Exact internal controllability for the two-dimensional Navier--Stokes equations with the Navier slip boundary conditions ⋮ Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions

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