Weak and strong semigroups in structural acoustic Kirchhoff-Boussinesq interactions with boundary feedback

DOI10.1016/j.jde.2021.07.009zbMath1470.35041OpenAlexW3183387063MaRDI QIDQ2048590

José H. Rodrigues, Irena Lasiecka

Publication date: 9 August 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2021.07.009

zbMATH Keywords

boundary dissipationKirchhoff-Boussinesq platenonlinear hybrid semigroupstructural acoustic interaction

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Plates (74K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)

Related Items (3)

Uniform decay rates for a variable-coefficient structural acoustic model with curved interface on a shallow shell ⋮ Blow-up theorems for a structural acoustics model ⋮ Global attractor for a coupled wave and plate equation with nonlocal weak damping on Riemannian manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate
• Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models
• Exact controllability of structural acoustic interactions
• Existence and uniqueness of a structural acoustic model involving a nonlinear shell
• Semigroups of linear operators and applications to partial differential equations
• Compact sets in the space \(L^ p(0,T;B)\)
• Uniqueness theorem for weak solutions of von Karman evolution equations
• Boundary stabilization of a 3-dimensional structural acoustic model
• Feedback control of noise in a 2-D nonlinear structural acoustics model
• Global attractors for damped semilinear wave equations.
• Uniform decay properties of a model in structural acoustics
• Well-posedness of a model for structural acoustic coupling in a cavity enclosed by a thin cylindrical shell
• Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation
• Hadamard well-posedness for a structure acoustic model with a supercritical source and damping terms
• Global attractor for a composite system of nonlinear wave and plate equations
• Mathematical Control Theory of Coupled PDEs
• Exact Controllability of Structural Acoustic Interactions with Variable Coefficients
• On Global Attractor for 2D Kirchhoff-Boussinesq Model with Supercritical Nonlinearity
• Long-time behavior of second order evolution equations with nonlinear damping
• Nonlinear Schrödinger evolution equations
• On the damped Boussinesq equation in a circle
• A new model for acoustic-structure interaction and its exponential stability
• Lack of Time-Delay Robustness for Stabilization of a Structural Acoustics Model
• An H/sup ∞//MinMax periodic control in a two-dimensional structural acoustic model with piezoceramic actuators
• Finite-dimensional attractor for a composite system of wave/plate equations with localized damping
• Stability analysis of coupled structural acoustics PDE models under thermal effects and with no additional dissipation
• Uniform stability for solutions of a structural acoustics PDE model with no added dissipative feedback
• Well-posedness of a structural acoustics control model with point observation of the pressure
• Dynamics of evolutionary equations

This page was built for publication: Weak and strong semigroups in structural acoustic Kirchhoff-Boussinesq interactions with boundary feedback