Three evolution problems modeling the interaction between acoustic waves and non-locally reacting surfaces

Initial-boundary value problems for second-order hyperbolic equations (35L20) PDEs in connection with fluid mechanics (35Q35) Wave equation (35L05) Hydro- and aero-acoustics (76Q05) Second-order hyperbolic equations (35L10) Second-order hyperbolic systems (35L51) Waves in compressible fluids (76N30)

Cites Work

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On the wave equation with semilinear porous acoustic boundary conditions
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The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions
Some nonlinear wave equations with acoustic boundary conditions
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On a system of Klein-Gordon type equations with acoustic boundary conditions
Oscillatory boundary conditions for acoustic wave equations
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Nonlinear wave equation with Dirichlet and acoustic boundary conditions: theoretical analysis and numerical simulation
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An application of semigroups of locally Lipschitz operators to Carrier equations with acoustic boundary conditions
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Acoustic boundary conditions
One-Parameter Semigroups for Linear Evolution Equations
The Dirichlet-to-Neumann operator on $C(\partial \Omega)$
Stability for Semilinear Wave Equation in an Inhomogeneous Medium with Frictional Localized Damping and Acoustic Boundary Conditions
Uniform Stabilization for a Hyperbolic Equation with Acoustic Boundary Conditions in Simple Connected Domains
Abstract wave equations with acoustic boundary conditions
General stability of solutions for a viscoelastic wave equations of Kirchhoff type with acoustic boundary conditions
Reflection of water waves from floating ice in water of finite depth
The effect of a floating mat on water waves

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