Exact controllability of structural acoustic interactions
From MaRDI portal
Publication:880448
DOI10.1016/S0021-7824(03)00016-3zbMath1109.93004MaRDI QIDQ880448
Publication date: 15 May 2007
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Control, switches and devices (``smart materials) in solid mechanics (74M05) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)
Related Items
Boundary controllability of structural acoustic systems with variable coefficients and curved walls ⋮ Blow-up theorems for a structural acoustics model ⋮ On the asymptotic behavior of solutions to a structural acoustics model ⋮ On the wave equation with semilinear porous acoustic boundary conditions ⋮ Carleman Inequalities for Wave Equations with Oscillatory Boundary Conditions and Application ⋮ Exact boundary controllability of the structural acoustic model with variable coefficients ⋮ Inverse problem for structural acoustic interaction ⋮ Inverse problem for a structural acoustic system with variable coefficients ⋮ A New Method to Obtain Uniform Decay Rates for Multidimensional Wave Equations with Nonlinear Acoustic Boundary Conditions ⋮ On a structural acoustic model which incorporates shear and thermal effects in the structural component ⋮ Strong stabilization of a structural acoustic model, which incorporates shear and thermal effects in the structural component ⋮ Boundary controllability of a coupled wave/Kirchhoff system ⋮ Exact controllability in fluid – solid structure: The Helmholtz model ⋮ Weak and strong semigroups in structural acoustic Kirchhoff-Boussinesq interactions with boundary feedback ⋮ Exact Controllability of Structural Acoustic Interactions with Variable Coefficients ⋮ Global solutions to a structure acoustic interaction model with nonlinear sources ⋮ Hadamard well-posedness for a structure acoustic model with a supercritical source and damping terms ⋮ On the stabilizability of a structural acoustic model which incorporates shear effects in the structural component ⋮ 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Semigroups of linear operators and applications to partial differential equations
- Compact sets in the space \(L^ p(0,T;B)\)
- Stabilization of a hybrid system of elasticity by feedback boundary damping
- Exact controllability of the wave equation with Neumann boundary control
- Lack of exact controllability for wave and plate equations with finitely many boundary controls
- Sharp regularity theory for second order hyperbolic equations of Neumann type. I: \(L_ 2\) nonhomogeneous data
- Uniform stabilization of the wave equation with Dirichlet or Neumann feedback control without geometrical conditions
- Wave equation on a bounded domain with boundary dissipation: An operator approach
- 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
- Differential Riccati equation for the active control of a problem in structural acoustics
- Mathematical Control Theory of Coupled PDEs
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Dispersal of waves vanishing on the boundary of an exterior domain
- Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
- On the Spectral Properties and Stabilization of Acoustic Flow
- Boundary Controllability of Thermoelastic Plates via the Free Boundary Conditions
- Applications of functional analysis and operator theory
- Decay rates of interactive hyperbolic-parabolic PDE models with thermal effects on the interface
