General decay rate for a Moore-Gibson-Thompson equation with infinite history

DOI10.1007/s00033-020-1265-1zbMath1436.35263OpenAlexW3006107511MaRDI QIDQ2174189

Zhijing Chen, Wenjun Liu

Publication date: 21 April 2020

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-020-1265-1

zbMATH Keywords

energy methodnonlinear acoustics

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) One-parameter semigroups and linear evolution equations (47D06) Hydro- and aero-acoustics (76Q05) Volterra integral equations (45D05) Abstract hyperbolic equations (35L90)

Related Items (6)

Well‐posedness and exponential decay for the Moore–Gibson–Thompson equation with time‐dependent memory kernel ⋮ Well-posedness and decay property for the Cauchy problem of the standard linear solid model with thermoelasticity of type III ⋮ New general decay result for a fourth-order Moore-Gibson-Thompson equation with memory ⋮ Unnamed Item ⋮ General decay of the Cauchy problem for a Moore-Gibson-Thompson equation with memory ⋮ Well-posedness and decay property of regularity-loss type for the Cauchy problem of the standard linear solid model with Gurtin–Pipkin thermal law

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