Global stabilization of the Navier-Stokes-voight and the damped nonlinear wave equations by finite number of feedback controllers

DOI10.3934/dcdsb.2018153zbMath1402.35043arXiv1706.00162OpenAlexW2621398634MaRDI QIDQ1671089

Edriss S. Titi, Varga K. Kalantarov

Publication date: 6 September 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00162

zbMATH Keywords

initial boundary value problemsstrongly damped wave equationFourier modes feedback controller

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30)

Related Items (7)

Finite-parameter feedback control for stabilizing the complex Ginzburg-Landau equation ⋮ Existence of weak solution to initial-boundary value problem for finite order Kelvin-Voigt fluid motion model ⋮ Effect of temperature upon double diffusive instability in Navier-Stokes-Voigt models with Kazhikhov-Smagulov and Korteweg terms ⋮ Feedback control of Navier-Stokes-Voigt equations by finite determining parameters ⋮ STABILIZATION OF 2D g-NAVIER-STOKES EQUATIONS ⋮ Distributed stabilization of Korteweg-de Vries-Burgers equation in the presence of input delay ⋮ Semiglobal oblique projection exponential dynamical observers for nonautonomous semilinear parabolic-like equations

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