Uniform stabilization of a shallow shell model with nonlinear boundary feedbacks

DOI10.1016/S0022-247X(02)00041-0zbMath1067.74044MaRDI QIDQ1614683

Irena Lasiecka, Roberto Triggiani

Publication date: 8 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Kirchhoff plateelastic wavemicrolocal analysisRiemann geometric approach

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Shells (74K25)

Related Items (14)

Stabilization of Euler-Bernoulli plate equation with variable coefficients by nonlinear boundary feedback ⋮ Global smooth solutions for the quasilinear wave equation with boundary dissipation ⋮ Uniform decay rates for a variable-coefficient structural acoustic model with curved interface on a shallow shell ⋮ Boundary feedback stabilization of a coupled parabolic-hyperbolic Stokes-Lamé PDE system ⋮ Observability inequalities for the transmission of shallow shells ⋮ Global smooth attractors for dynamics of thermal shallow shells without vertical dissipation ⋮ Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate ⋮ Asymptotic behavior of cubic defocusing Schrödinger equations on compact surfaces ⋮ Boundary controllability for the quasilinear wave equation ⋮ Boundary feedback stabilization of the transmission problem of Naghdi's model ⋮ Uniqueness in the Cauchy problem for the Koiter shell ⋮ Linear Hyperbolic and Petrowski Type PDEs with Continuous Boundary Control → Boundary Observation Open Loop Map: Implication on Nonlinear Boundary Stabilization with Optimal Decay Rates ⋮ An inverse source problem for the Lamé system with variable coefficients ⋮ Uniqueness of solution to systems of elliptic operators and application to asymptotic synchronization of linear dissipative systems

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