Boundary stabilisation of the Navier–Stokes Equation with Fading Memory

DOI10.1080/00207179.2014.964780zbMath1328.93207OpenAlexW1982766233MaRDI QIDQ5265931

Ionuţ Munteanu

Publication date: 29 July 2015

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2014.964780

zbMATH Keywords

eigenvalueviscoelastic fluidsfeedback controldafermos methodNavier-Stokes equation with memoryOseen-Stokes operator

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Stability theory of functional-differential equations (34K20) Flow control and optimization for incompressible viscous fluids (76D55) PDEs in connection with control and optimization (35Q93)

Related Items (11)

Stabilisation of parabolic semilinear equations ⋮ Design of boundary stabilizers for the non-autonomous cubic semilinear heat equation driven by a multiplicative noise ⋮ Boundary feedback stabilization of Fisher's equation ⋮ Abstract Volterra integrodifferential equations with applications to parabolic models with memory ⋮ Time optimal control problem of the 2D MHD equations with memory ⋮ Exponential stabilization of the stochastic Burgers equation by boundary proportional feedback ⋮ Stabilization of stochastic parabolic equations with boundary-noise and boundary-control ⋮ Boundary stabilization of the stochastic heat equation by proportional feedbacks ⋮ Boundary sampled-data feedback stabilization for parabolic equations ⋮ Boundary stabilisation to non-stationary solutions for deterministic and stochastic parabolic-type equations ⋮ Stabilisation of a linearised Cahn–Hilliard system for phase separation by proportional boundary feedbacks

Cites Work

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• Stabilization of Navier--Stokes Equations by Oblique Boundary Feedback Controllers
• On the Spectrum of C 0 -Semigroups
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