Null controllability in a fluid-solid structure model

DOI10.1016/j.jde.2009.09.015zbMath1226.93030OpenAlexW2090432161MaRDI QIDQ960830

Jean-Pierre Raymond, Muthusamy Vanninathan

Publication date: 29 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.jde.2009.09.015

zbMATH Keywords

null controllabilityStokes equationsCarleman inequalityadjoint systemsystems of ordinary differential equationsfinite dimensional approximationmodeling deformations of an elastic body

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Flow control and optimization for incompressible viscous fluids (76D55) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (3)

GLOBAL CARLEMAN ESTIMATES FOR DEGENERATE PARABOLIC OPERATORS WITH APPLICATIONS ⋮ Local controllability to trajectories of the magnetohydrodynamic equations ⋮ Theoretical developments in the study of partial differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact controllability of a fluid--rigid body system
• Local exact controllability of the Navier-Stokes system
• Null controllability in a heat-solid structure model
• Stokes and Navier-Stokes equations with nonhomogeneous boundary conditions
• Local exact controllability to the trajectories of the Boussinesq system via a fictitious control on the divergence equation
• Global Weak Solutions of the Navier-Stokes System with Nonzero Boundary Conditions
• Exact controllability in fluid – solid structure: The Helmholtz model
• RÉGULARITÉ ET UNICITÉ POUR LE PROBLÈME DE STOKES
• Controllability of parabolic equations
• Prolongement Unique Des Solutions
• Local null controllability of a two-dimensional fluid-structure interaction problem

This page was built for publication: Null controllability in a fluid-solid structure model