Stabilization of a fluid-rigid body system

DOI10.1016/j.jde.2015.07.024zbMath1328.35182OpenAlexW1085003917MaRDI QIDQ496751

Takéo Takahashi, Marius Tucsnak, George Weiss

Publication date: 22 September 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.07.024

zbMATH Keywords

Navier-Stokes equationsasymptotic stabilityglobal solutionsfluid-structure interactionPD controlerswitching feedback

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (10)

Controllability of a Stokes system with a diffusive boundary condition ⋮ Remark on the global null controllability for a viscous Burgers-particle system with particle supported control ⋮ Fluid-Rigid Structure Interaction System with Coulomb's Law ⋮ Almost global practical exponential stabilisation of a floating rigid body ⋮ Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters ⋮ Stabilization of a rigid body moving in a compressible viscous fluid ⋮ Eight(y) mathematical questions on fluids and structures ⋮ Local Stabilization of a Fluid--Structure System around a Stationary State with a Structure Given by a Finite Number of Parameters ⋮ Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body ⋮ Feedback stabilization of a 3D fluid flow by shape deformations of an obstacle

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• Ordinary Differential Equations
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