Acoustic wave motions stabilized by boundary memory damping. II: Polynomial stability

DOI10.1016/J.AML.2018.05.011zbMath1405.35208OpenAlexW2803403038WikidataQ129801853 ScholiaQ129801853MaRDI QIDQ1992204

Zhe Jiao, Yong Xu

Publication date: 2 November 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.05.011

zbMATH Keywords

wave equationpolynomial decay ratesacoustic boundary conditionsboundary memory damping

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Hydro- and aero-acoustics (76Q05) Linear waves in solid mechanics (74J05) PDEs in connection with mechanics of deformable solids (35Q74) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Cites Work

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• Some nonlinear wave equations with acoustic boundary conditions
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• Polynomial stability for wave equations with acoustic boundary conditions and boundary memory damping
• Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions
• Uniform stabilization of wave equation with localized damping and acoustic boundary condition
• Acoustic boundary conditions

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