Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound

DOI10.1007/s00245-017-9471-8zbMath1425.35120arXiv1603.04270OpenAlexW3106236439MaRDI QIDQ2338077

Belkacem Said-Houari, Marta Pellicer

Publication date: 20 November 2019

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

Full work available at URL: https://arxiv.org/abs/1603.04270

zbMATH Keywords

Fourier transformenergy methoddecay rateMoore-Gibson-Thompson equationeigenvalues expansion method

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Linear constitutive equations for materials with memory (74D05) Higher-order hyperbolic systems (35L55) Pseudohyperbolic equations (35L82) Higher-order quasilinear hyperbolic equations (35L77)

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