Local null controllability of a two-dimensional fluid-structure interaction problem

DOI10.1051/cocv:2007031zbMath1149.35068OpenAlexW2117591332MaRDI QIDQ5447481

Muriel Boulakia, Axel Osses

Publication date: 6 March 2008

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/245642

zbMATH Keywords

controllabilityNavier-Stokes equationsfluid-solid interactionCarleman estimates

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Navier-Stokes equations (35Q30) Flow control and optimization for compressible fluids and gas dynamics (76N25)

Related Items (20)

Controllability of a Stokes system with a diffusive boundary condition ⋮ External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid ⋮ Exact controllability of a fluid--rigid body system ⋮ Local null controllability of a rigid body moving into a Boussinesq flow ⋮ Remark on the global null controllability for a viscous Burgers-particle system with particle supported control ⋮ Controllability of a fluid-structure interaction system coupling the Navier-Stokes system and a damped beam equation ⋮ Local null controllability of a fluid-solid interaction problem in dimension 3 ⋮ Controllability results for the Moore-Gibson-Thompson equation arising in nonlinear acoustics ⋮ Control at a distance of the motion of a rigid body immersed in a two-dimensional viscous incompressible fluid ⋮ Null controllability in a fluid-solid structure model ⋮ Inverse problem and null-controllability for parabolic systems ⋮ Null controllability in a heat-solid structure model ⋮ Local null controllability of a two-dimensional fluid-structure interaction problem ⋮ Feedback stabilization of a simplified 1d fluid-particle system ⋮ Local null controllability of a fluid–rigid body interaction problem with Navier slip boundary conditions ⋮ Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body ⋮ Remote trajectory tracking of a rigid body in an incompressible fluid at low Reynolds number ⋮ Observability and unique continuation of the adjoint of a linearized simplified compressible fluid-structure model in a 2d channel ⋮ Boundary controllability of a coupled inhomogeneous plates system ⋮ Particle supported control of a fluid-particle system

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