Abstract settings for stabilization of nonlinear parabolic system with a Riccati-based strategy. Application to Navier-Stokes and Boussinesq equations with Neumann or Dirichlet control

DOI10.3934/dcds.2012.32.1169zbMath1235.93200OpenAlexW2334358552MaRDI QIDQ765092

Mehdi Badra

Publication date: 19 March 2012

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

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.1169

zbMATH Keywords

Lyapunov functionfeedback stabilizationRiccati equationNavier-StokesBoussinesqDirichlet controlNeumann control

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Flow control and optimization for incompressible viscous fluids (76D55)

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