Wave equation with porous nonlinear acoustic boundary conditions generates a well-posed dynamical system

DOI10.1016/J.NA.2010.06.075zbMath1200.35193OpenAlexW2003391623MaRDI QIDQ992840

J. Martínez

Publication date: 10 September 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.075

zbMATH Keywords

weak solutionsinterfacenonlinear semigroupscoupled systemHadamard well-posednessstructural acoustic modelmaximally dissipative operator

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Initial-boundary value problems for second-order hyperbolic equations (35L20) Abstract hyperbolic equations (35L90) Nonlinear evolution equations (47J35)

Related Items (23)

Uniform stabilization of wave equation with localized damping and acoustic boundary condition ⋮ Polynomial decay of a internal nonlinear damping structurally acoustic models with variable coefficients ⋮ Polynomial decay rate of a variable coefficient wave equation with memory type acoustic boundary conditions ⋮ Stabilization for transmission wave-plate equations with acoustic/memory boundary conditions ⋮ Uniform energy decay of a variable coefficient wave equation with nonlinear acoustic boundary conditions ⋮ Energy decay of a variable-coefficient wave equation with memory type acoustic boundary conditions ⋮ Variable-coefficient viscoelastic wave equation with acoustic boundary conditions: global existence, blowup and energy decay rates ⋮ On the wave equation with semilinear porous acoustic boundary conditions ⋮ Uniform boundary stabilization of a wave equation with nonlinear acoustic boundary conditions and nonlinear boundary damping ⋮ Existence and asymptotic behavior of the wave equation with dynamic boundary conditions ⋮ Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions ⋮ On the viscoelastic equation with Balakrishnan-Taylor damping and acoustic boundary conditions ⋮ Existence and nonexistence of global solutions for nonlinear transmission acousticproblem ⋮ Strong stability and uniform decay of solutions to a wave equation with semilinear porous acoustic boundary conditions ⋮ On a mixed problem with a nonlinear acoustic boundary condition for a non-locally reacting boundaries ⋮ Well-posedness for a variable-coefficient wave equation with nonlinear damped acoustic boundary conditions ⋮ Global existence and general decay estimates for the viscoelastic equation with acoustic boundary conditions ⋮ A linearized viscous, compressible flow-plate interaction with non-dissipative coupling ⋮ Polynomial decay of a variable coefficient wave equation with an acoustic undamped boundary condition ⋮ The damped wave equation with acoustic boundary conditions and non-locally reacting surfaces ⋮ NONLINEAR WAVE EQUATIONS WITH NONLINEAR TRANSMISSION ACOUSTIC CONDITION ⋮ Uniform stabilization of a variable coefficient wave equation with nonlinear damping and acoustic boundary ⋮ Polynomial decay and blow up of solutions for variable coefficients viscoelastic wave equation with acoustic boundary conditions

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• Well-posedness and uniform decay rates for the Klein–Gordon equation with damping term and acoustic boundary conditions
• Acoustic boundary conditions
• Uniform Stabilization for a Hyperbolic Equation with Acoustic Boundary Conditions in Simple Connected Domains
• Dynamics of evolutionary equations

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