Stabilization of the variable-coefficient structural acoustic model with curved middle surface and delay effects in the structural component
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Publication:2360010
DOI10.1016/j.jmaa.2017.05.001zbMath1417.35217OpenAlexW2612664297MaRDI QIDQ2360010
Publication date: 23 June 2017
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.2017.05.001
Riemannian geometry methodnonlinear delay feedbackuniform stabilizationstructural acoustic modeluniform energy decay rates
Related Items (5)
Unnamed Item ⋮ Exact boundary null controllability for a coupled system of plate equations with variable coefficients ⋮ Uniform decay rates for a variable-coefficient structural acoustic model with curved interface on a shallow shell ⋮ Exact boundary controllability of the structural acoustic model with variable coefficients ⋮ Boundary controllability of a coupled inhomogeneous plates system
Cites Work
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- Controllability for transmission wave/plate equations on Riemannian manifolds
- Existence and energy decay rates of solutions to the variable-coefficient Euler-Bernoulli plate with a delay in localized nonlinear internal feedback
- Stabilization of transmission coupled wave and Euler-Bernoulli equations on Riemannian manifolds by nonlinear feedbacks
- Stabilization of the Euler-Bernoulli plate with variable coefficients by nonlinear internal feedback
- Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback
- Exponential stability of the wave equation with boundary time-varying delay
- Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate
- Sharp trace estimates of solutions to Kirchhoff and Euler-Bernoulli equations
- Stabilization of Euler-Bernoulli plate equation with variable coefficients by nonlinear boundary feedback
- Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- Boundary stabilization of a 3-dimensional structural acoustic model
- Uniform decay of weak solutions to a von Kármán plate with nonlinear boundary dissipation
- Asymptotic behaviour of nonlinear structural acoustic interactions with thermal effects on the interface
- Nonlinear boundary stabilization of the wave equations with variable coefficients and time dependent delay
- Decay rate estimates for a weak viscoelastic beam equation with time-varying delay
- Existence and energy decay of solutions for the Euler-Bernoulli viscoelastic equation with a delay
- 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
- Uniform stability in structural acoustic models with flexible curved walls
- Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
- An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
- Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
- MATHEMATICAL CONTROL THEORY IN STRUCTURAL ACOUSTIC PROBLEMS
- Observability Inequalities for Shallow Shells
- On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
- The modeling of piezoceramic patch interactions with shells, plates, and beams
- Global existence and energy decay of solutions to a nonlinear wave equation with a delay term
- Decay rates of interactive hyperbolic-parabolic PDE models with thermal effects on the interface
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