Attractors for semilinear damped wave equations with an acoustic boundary condition
From MaRDI portal
Publication:423393
DOI10.1007/s00028-009-0039-1zbMath1239.35025OpenAlexW2070648598MaRDI QIDQ423393
Publication date: 2 June 2012
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2434/724950
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Second-order semilinear hyperbolic equations (35L71)
Related Items (22)
Global solutions of wave equations with multiple nonlinear source terms under acoustic boundary conditions ⋮ Global attractor and decay estimates of solutions to a class of nonlinear evolution equations ⋮ Nonlinear wave equation with Dirichlet and acoustic boundary conditions: theoretical analysis and numerical simulation ⋮ Continuity of non-autonomous attractors for hyperbolic perturbation of parabolic equations ⋮ Attractors for semilinear wave equations with acoustic transmission conditions ⋮ Wave equation with viscoelastic acoustic boundary conditions and supercritical source term ⋮ Long time behavior of semilinear wave equation with localized interior damping term under acoustic boundary condition ⋮ Well‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditions ⋮ Global attractors for the higher-order evolution equation ⋮ Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions ⋮ A New Method to Obtain Uniform Decay Rates for Multidimensional Wave Equations with Nonlinear Acoustic Boundary Conditions ⋮ Regular Global Attractors for Wave Equations with Degenerate Memory ⋮ General decay of solutions of a wave equation with memory term and acoustic boundary condition ⋮ On a nonlinear problem with Dirichlet and acoustic boundary conditions ⋮ Theoretical analysis and numerical simulation for a hyperbolic equation with Dirichlet and acoustic boundary conditions ⋮ On a nonlinear coupled system of thermoelastic type with acoustic boundary conditions ⋮ On the convergence to stationary solutions for a semilinear wave equation with an acoustic boundary condition ⋮ Hyperbolic relaxation of reaction-diffusion equations with dynamic boundary conditions ⋮ Attractors for Damped Semilinear Wave Equations with Singularly Perturbed Acoustic Boundary Conditions ⋮ Attractors for damped semilinear wave equations with a Robin-acoustic boundary perturbation ⋮ Unnamed Item ⋮ Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions
Cites Work
- Unnamed Item
- Weakly dissipative semilinear equations of viscoelasticity
- A note on the strong convergence towards attractors of damped forced KdV equations
- On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation
- A semigroup approach to boundary feedback systems
- Global attractors for damped semilinear wave equations.
- Uniform exponential attractors for a singularly perturbed damped wave equation.
- Some nonlinear wave equations with acoustic boundary conditions
- Asymptotic behavior of a parabolic-hyperbolic system
- On the strongly damped wave equation
- Decoupling techniques for wave equations with dynamic boundary conditions
- Oscillatory boundary conditions for acoustic wave equations
- Asymptotic regularity of solutions of singularly perturbed damped wave equations with supercritical nonlinearities
- An energy equation for the weakly damped driven nonlinear Schrödinger equations and its application to their attractors
- A remark on the damped wave equation
- Asymptotic behavior of a hyperbolic system arising in ferroelectricity
- On the hyperbolic relaxation of the one-dimensional Cahn--Hilliard equation
- Some Nonlinear Wave Equations with Nonlinear Memory Source Term and Acoustic Boundary Conditions
- Acoustic boundary conditions
- Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
- Attractors for non-compact semigroups via energy equations
- Regularity of the attractor for a weakly damped nonlinear schrödinger equation
- The global attractor for the 2D Navier-Stokes flow on some unbounded domains
- Attractor for dissipative Zakharov system
- Exponential attractors for a nonlinear reaction-diffusion system in
- Well‐posedness and long time behavior of a parabolic‐hyperbolic phase‐field system with singular potentials
- Abstract wave equations with acoustic boundary conditions
- Attractors for semilinear strongly damped wave equations on \(\mathbb{R}^3\).
This page was built for publication: Attractors for semilinear damped wave equations with an acoustic boundary condition
