Weak and strong semigroups in structural acoustic Kirchhoff-Boussinesq interactions with boundary feedback
type: Item
instance of: scholarly article
title: Weak and strong semigroups in structural acoustic Kirchhoff-Boussinesq interactions with boundary feedback
zbMATH Open document ID: 1470.35041
published in: Journal of Differential Equations
publication date: 2021-08-09T00:00:00Z
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 35L35
Mathematics Subject Classification ID: 35L76
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 47D06
zbMATH DE Number: 7379612
zbMATH Keywords: structural acoustic interaction
zbMATH Keywords: Kirchhoff-Boussinesq plate
zbMATH Keywords: nonlinear hybrid semigroup
zbMATH Keywords: boundary dissipation
author: Irena Lasiecka
author: J. H. Rodrigues
MaRDI profile type: Publication
full work available at URL: j.jde.2021.07.009
OpenAlex ID: W3183387063
cites work: Exact controllability of structural acoustic interactions
cites work: Uniform decay properties of a model in structural acoustics
cites work: Lack of Time-Delay Robustness for Stabilization of a Structural Acoustics Model
cites work: Well-posedness of a structural acoustics control model with point observation of the pressure
cites work: Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate
cites work: Uniform stability for solutions of a structural acoustics PDE model with no added dissipative feedback
cites work: Stability analysis of coupled structural acoustics PDE models under thermal effects and with no additional dissipation
cites work: Global attractors for damped semilinear wave equations.
cites work: An H/sup ∞//MinMax periodic control in a two-dimensional structural acoustic model with piezoceramic actuators
cites work: Feedback control of noise in a 2-D nonlinear structural acoustics model
cites work: Well-posedness of a model for structural acoustic coupling in a cavity enclosed by a thin cylindrical shell
cites work: Q4089240
cites work: Hadamard well-posedness for a structure acoustic model with a supercritical source and damping terms
cites work: Uniqueness theorem for weak solutions of von Karman evolution equations
cites work: Nonlinear Schrödinger evolution equations
cites work: Global attractor for a composite system of nonlinear wave and plate equations
cites work: Finite-dimensional attractor for a composite system of wave/plate equations with localized damping
cites work: Q5848416
cites work: Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models
cites work: On Global Attractor for 2D Kirchhoff-Boussinesq Model with Supercritical Nonlinearity
cites work: Long-time behavior of second order evolution equations with nonlinear damping
cites work: Existence and uniqueness of a structural acoustic model involving a nonlinear shell
cites work: A new model for acoustic-structure interaction and its exponential stability
cites work: Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation
cites work: Q4407522
cites work: Boundary stabilization of a 3-dimensional structural acoustic model
cites work: Mathematical control theory of coupled PDEs
cites work: Q4954010
cites work: Exact controllability of structural acoustic interactions with variable coefficients
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Dynamics of evolutionary equations
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Q3840754
cites work: Q4169288
cites work: On the damped Boussinesq equation in a circle
cites work: Q5620934
DOI: 10.1016/J.JDE.2021.07.009
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description: scientific article; zbMATH DE number 7379612