Exact Controllability of Structural Acoustic Interactions with Variable Coefficients
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Publication:2818215
DOI10.1137/15M1039936zbMath1347.35154OpenAlexW2511499714MaRDI QIDQ2818215
Goong Chen, Hichem Hajaiej, Bandar Bin-Mohsin, Peng-Fei Yao, Yu-Xiang Liu
Publication date: 6 September 2016
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1039936
Controllability (93B05) Hydro- and aero-acoustics (76Q05) Initial value problems for second-order hyperbolic systems (35L52)
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Boundary controllability of structural acoustic systems with variable coefficients and curved walls, Polynomial decay of a internal nonlinear damping structurally acoustic models with variable coefficients, Polynomial decay rate of a variable coefficient wave equation with memory type acoustic boundary conditions, Regularity and stability of wave equations with variable coefficients and Wentzell type boundary conditions, Exact boundary controllability of the structural acoustic model with variable coefficients, Inverse problem for a structural acoustic system with variable coefficients, Stabilization of the transmission wave/plate equation with variable coefficients, Weak and strong semigroups in structural acoustic Kirchhoff-Boussinesq interactions with boundary feedback, Polynomial decay of a variable coefficient wave equation with an acoustic undamped boundary condition, Uniform stabilization of a variable coefficient wave equation with nonlinear damping and acoustic boundary
Cites Work
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- Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback
- Observability inequalities for thin shells
- Well-posedness and regularity of Naghdi's shell equation under boundary control and observation
- Asymptotic stability of the wave equation on compact manifolds and locally distributed damping: A sharp result
- Indirect boundary stabilization of a system of Schrödinger equations with variable coefficients
- Uniform stabilization of the damped Cauchy--Ventcel problem with variable coefficients and dynamic boundary conditions
- Exact controllability of structural acoustic interactions
- Control and stabilization for the wave equation with variable coefficients in domains with moving boundary
- Boundary controllability for the quasilinear wave equation
- On exponential stability of a semilinear wave equation with variable coefficients under the nonlinear boundary feedback
- Semigroups of linear operators and applications to partial differential equations
- Compact sets in the space \(L^ p(0,T;B)\)
- Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
- Inverse/observability estimates for second-order hyperbolic equations with variable coefficients
- Feedback control of noise in a 2-D nonlinear structural acoustics model
- Carleman estimates with no lower-order terms for general Riemann wave equations. Global uniqueness and observability in one shot
- On boundary stability of wave equations with variable coefficients
- The exponential stability of a coupled hyperbolic/parabolic system arising in structural acoustics
- Sharp regularity of a coupled system of a wave and a Kirchhoff equation with point control arising in noise reduction
- Energy decay for the Cauchy problem of the linear wave equation of variable coefficients with dissipation
- Energy decay of the wave equation with variable coefficients and a localized half-linear dissipation in an exterior domain
- Global smooth solutions for the quasilinear wave equation with boundary dissipation
- Observability inequalities for the transmission of shallow shells
- Boundary feedback stabilization of the transmission problem of Naghdi's model
- Boundary controllability of a coupled wave/Kirchhoff system
- Exact controllability of finite energy states for an acoustic wave/plate interaction under the influence of boundary and localized controls
- Differential Riccati equation for the active control of a problem in structural acoustics
- Nonlinear internal damping of wave equations with variable coefficients
- Mathematical Control Theory of Coupled PDEs
- Asymptotic stability of the wave equation on compact surfaces and locally distributed damping-A sharp result
- Acoustic boundary conditions
- On the Spectral Properties and Stabilization of Acoustic Flow
- Boundary Feedback Stabilization of Shallow Shells
- Observability Inequalities for Shallow Shells
- On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
- Boundary Controllability of Thermoelastic Plates via the Free Boundary Conditions
- Decay rates of interactive hyperbolic-parabolic PDE models with thermal effects on the interface