On weak/strong attractor for a 3-D structural-acoustic interaction with Kirchhoff-Boussinesq elastic wall subject to restricted boundary dissipation
DOI10.1007/S10884-023-10325-8zbMATH Open1548.35082MaRDI QIDQ6612576
Irena Lasiecka, J. H. Rodrigues
Publication date: 1 October 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
global attractorsboundary-interface dissipationKirchhoff-Boussinesq plate and interfacestructure-acoustic dynamical system
Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Plates (74K20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)
Cites Work
- Title not available (Why is that?)
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- Mathematics of nonlinear acoustics
- Attractors for damped quintic wave equations in bounded domains
- Dynamics of quasi-stable dissipative systems
- Boundary stabilization of structural acoustic interactions with interface on a Reissner-Mindlin plate
- Robust attractors for a Kirchhoff-Boussinesq type equation
- Long-time dynamics of von Karmán semi-flows with nonlinear boundary/interior damping
- Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditions
- Exact controllability of structural acoustic interactions
- Long-term dynamics of semilinear wave equation with nonlinear localized interior damping and a source term of critical exponent
- Existence and uniqueness of a structural acoustic model involving a nonlinear shell
- Long-time dynamics of a coupled system of nonlinear wave and thermoelastic plate equations
- Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent
- Global and exponential attractors for the singularly perturbed extensible beam
- Compact sets in the space \(L^ p(0,T;B)\)
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- Boundary stabilization of a 3-dimensional structural acoustic model
- Infinite-dimensional dynamical systems in mechanics and physics.
- Feedback control of noise in a 2-D nonlinear structural acoustics model
- Global attractors for damped semilinear wave equations.
- Attractors for noncompact nonautonomous systems via energy equations.
- Asymptotic behaviour of nonlinear structural acoustic interactions with thermal effects on the interface
- Dynamics of laminated Timoshenko beams
- Attractors and their stability on Boussinesq type equations with gentle dissipation
- Boundary controllability of structural acoustic systems with variable coefficients and curved walls
- Energy decay rate of the wave equations on Riemannian manifolds with critical potential
- Attractors for second-order evolution equations with a nonlinear damping
- Unique continuation for weak solutions of the wave equation plus a potential
- Well-posedness and attractor on the 2D Kirchhoff-Boussinesq models
- Weak and strong semigroups in structural acoustic Kirchhoff-Boussinesq interactions with boundary feedback
- Hadamard well-posedness for a structure acoustic model with a supercritical source and damping terms
- Attractors for semilinear wave equations with localized damping and external forces
- Global attractor for a composite system of nonlinear wave and plate equations
- Nonconservative wave equations with unobserved Neumann B.C.: Global uniqueness and observability in one shot
- 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
- Von Karman Evolution Equations
- Acoustics of Fluid-Structure Interactions
- A new model for acoustic-structure interaction and its exponential stability
- ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
- Instability and Blow-Up of Solutions to a Generalized Boussinesq Equation
- Existence and Uniqueness of a Solution to the Cauchy Problem for the Damped Boussinesq Equation
- 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
- Global smooth attractors for dynamics of thermal shallow shells without vertical dissipation
- On Stability Equivalence between Dynamic Output Feedback and Static Output Feedback for a Class of Second Order Infinite-Dimensional Systems
- Decay rates of interactive hyperbolic-parabolic PDE models with thermal effects on the interface
- Uniform decay rates for a variable-coefficient structural acoustic model with curved interface on a shallow shell
- Global attractor for a coupled wave and plate equation with nonlocal weak damping on Riemannian manifolds
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