Remarks on global approximate controllability for the 2-D Navier-Stokes system with Dirichlet boundary conditions

DOI10.1016/j.crma.2006.09.023zbMath1109.35087OpenAlexW2054261101MaRDI QIDQ857114

Oleg Yurievich Imanuvilov, Sergio Guerrero, Jean-Pierre Puel

Publication date: 14 December 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.09.023

zbMATH Keywords

boundary controlsglobal approximate controllability

Mathematics Subject Classification ID

Related Items (9)

Global controllability of the Navier-Stokes equations in the presence of curved boundary with no-slip conditions ⋮ Small-time global exact controllability of the Navier-Stokes equation with Navier slip-with-friction boundary conditions ⋮ Small-time global null controllability of generalized Burgers’ equations ⋮ Approximate controllability for linearized compressible barotropic Navier-Stokes system in one and two dimensions ⋮ Recovering a constant in the two-dimensional Navier-Stokes system with no initial condition ⋮ Small time global null controllability for a viscous Burgers' equation despite the presence of a boundary layer ⋮ Controllability of the Navier-Stokes equation in a rectangle with a little help of a distributed phantom force ⋮ Local null controllability of the two-dimensional Navier-Stokes system in the torus with a control force having a vanishing component ⋮ Null controllability of the linearized compressible Navier-Stokes equations using moment method

Cites Work

• Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
• Global asymptotic stabilization for controllable systems without drift
• Local exact controllability of the Navier-Stokes system
• On the controllability of the 2-D incompressible Navier-Stokes equations with the Navier slip boundary conditions
• RÉGULARITÉ ET UNICITÉ POUR LE PROBLÈME DE STOKES
• Controllability of parabolic equations

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