On an evolution equation with acoustic boundary conditions

DOI10.1002/MMA.1503zbMath1230.35058OpenAlexW2148575408MaRDI QIDQ3095578

Cicero Lopes Frota, Juan Limaco, Haroldo R. Clark, Luis Adauto da Justa Medeiros

Publication date: 3 November 2011

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1503

zbMATH Keywords

mixed boundary conditionsnonlinear evolution equationquadratic termacoustic boundary conditionssmall vertical vibrationsweak internal damping

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Strings (74K05) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)

Related Items (9)

Nonlinear wave equation with Dirichlet and acoustic boundary conditions: theoretical analysis and numerical simulation ⋮ 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 ⋮ General decay of solutions of a wave equation with memory term and acoustic boundary condition ⋮ Exact controllability for nonlocal and nonlinear hyperbolic PDEs ⋮ 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 ⋮ Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions

Cites Work

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• On some nonlinear perturbation of Kirchhoff-Carrier operator
• Some nonlinear wave equations with acoustic boundary conditions
• Existence of global solutions and energy decay for the Carrier equation with dissipative term
• Oscillatory boundary conditions for acoustic wave equations
• Acoustic boundary conditions
• On the non-linear vibration problem of the elastic string

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