On the stabilizability of a structural acoustic model which incorporates shear effects in the structural component

DOI10.1016/j.jmaa.2009.06.060zbMath1182.35029OpenAlexW1993489332MaRDI QIDQ1034577

Marié Grobbelaar-Van Dalsen

Publication date: 6 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.06.060

zbMATH Keywords

strong stabilizationinternal dampingReissner-Mindlin plate equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Plates (74K20)

Related Items (5)

Strong stabilization of a structural acoustic model, which incorporates shear and thermal effects in the structural component ⋮ Heat-wave interaction in 2-3 dimensions: optimal rational decay rate ⋮ Strong stabilization of models incorporating the thermoelastic Reissner–Mindlin plate equations with second sound ⋮ The role of magnetic fields in the strong stabilization of a hybrid magneto-elastic structure ⋮ Uniform stability for solutions of a structural acoustics PDE model with no added dissipative feedback

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact controllability of structural acoustic interactions
• Strong stability of PDE semigroups via a generator resolvent criterion
• Semigroups of linear operators and applications to partial differential equations
• Wave equation on a bounded domain with boundary dissipation: An operator approach
• The strong stability of a semigroup arising from a coupled hyperbolic/parabolic system
• Boundary stabilization of a 3-dimensional structural acoustic model
• Asymptotic behaviour of nonlinear structural acoustic interactions with thermal effects on the interface
• The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics
• On a structural acoustic model which incorporates shear and thermal effects in the structural component
• On a structural acoustic model with interface a Reissner--Mindlin plate or a Timoshenko beam
• Caractérisation de quelques espaces d'interpolation
• Uniform stabilization of a nonlinear structural acoustic model with a Timoshenko beam interface
• Boundary Control of the Timoshenko Beam
• Semigroup model and stability of the structurally damped Timoshenko beam with boundary inputs
• Uniform decay rates for full von karman system of dynamic theromelasticity with free boundary conditions and partial boundary dissipation
• MATHEMATICAL CONTROL THEORY IN STRUCTURAL ACOUSTIC PROBLEMS
• Decay rates of interactive hyperbolic-parabolic PDE models with thermal effects on the interface

This page was built for publication: On the stabilizability of a structural acoustic model which incorporates shear effects in the structural component