On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity

DOI10.1007/s00245-016-9365-1zbMath1383.35052OpenAlexW2413564584MaRDI QIDQ681940

Vittorino Pata, Filippo Dell'Oro

Publication date: 13 February 2018

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-016-9365-1

zbMATH Keywords

exponential decaypreservation of regularity

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) One-parameter semigroups and linear evolution equations (47D06) Linear constitutive equations for materials with memory (74D05) Initial value problems for linear higher-order PDEs (35G10)

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• Exponential stability in linear viscoelasticity with almost flat memory kernels
• On the existence and the asymptotic stability of solutions for linearly viscoelastic solids
• Asymptotic stability in viscoelasticity
• An abstract semigroup approach to the third‐order Moore–Gibson–Thompson partial differential equation arising in high‐intensity ultrasound: structural decomposition, spectral analysis, exponential stability
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