Some Controllability Results for Linear Viscoelastic Fluids

DOI10.1137/100813592zbMath1244.93022OpenAlexW2039023028MaRDI QIDQ2903509

Manuel González-Burgos, Anna Doubova, Enrique Fernández-Cara, José Luiz Boldrini

Publication date: 10 August 2012

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/handle/11441/41191

zbMATH Keywords

viscoelastic fluidunique continuation propertieslarge time approximate-finite dimensional controllabilitylarge time exact controllability of fluidobservability (inverse) inequalitie

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Flow control and optimization for incompressible viscous fluids (76D55)

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Approximate controllability results for viscoelastic flows with infinitely many relaxation modes ⋮ Approximate controllability results for linear viscoelastic flows ⋮ Pure stress modes for linear viscoelastic flows with variable coefficients ⋮ Lack of null controllability of viscoelastic flows ⋮ Some controllability results for linearized compressible Navier-Stokes system with Maxwell's law ⋮ Non null controllability of Stokes equations with memory ⋮ On the control of viscoelastic Jeffreys fluids ⋮ Approximate controllability for linearized compressible barotropic Navier-Stokes system in one and two dimensions ⋮ Boundary controllability of a pseudoparabolic equation ⋮ Approximate controllability and stabilizability of a linearized system for the interaction between a viscoelastic fluid and a rigid body ⋮ Lack of null controllability of one dimensional linear coupled transport-parabolic system with variable coefficients

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