Boundary stabilizability of the linearized viscous Saint-Venant system

DOI10.3934/dcdsb.2011.15.491zbMath1382.35205OpenAlexW2321530858MaRDI QIDQ541559

Henda El Fekih, Jean-Pierre Raymond, Faker Ben Belgacem, Hassen Arfaoui

Publication date: 7 June 2011

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2011.15.491

zbMATH Keywords

boundary controllinear stabilitystabilizabilitySaint-Venant equationsviscous shallow water model

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) Asymptotic stability in control theory (93D20) Flow control and optimization for incompressible inviscid fluids (76B75)

Related Items (7)

Stability of a fractional advection-diffusion system with conformable derivative ⋮ Stability results of some first order viscous hyperbolic systems ⋮ Feedback stabilization of the linearized Viscous Saint-Venant system by constrained Dirichlet boundary control ⋮ Asymptotic behavior of the linearized compressible barotropic Navier‐Stokes system with a time varying delay term in the boundary or internal feedback ⋮ Boundary Stabilizability of the Linearized Compressible Navier--Stokes System in One Dimension by Backstepping Approach ⋮ Stability of a time fractional advection-diffusion system ⋮ Local stabilization of the compressible Navier-Stokes system, around null velocity, in one dimension

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