Singular Thermal Relaxation Limit for the Moore-Gibson-Thompson Equation Arising in Propagation of Acoustic Waves

DOI10.1007/978-3-030-46079-2_9zbMath1494.76076arXiv2011.07028OpenAlexW3034713855MaRDI QIDQ5115930

Marcelo Bongarti, Sutthirut Charoenphon, Irena Lasiecka

Publication date: 21 August 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.07028

zbMATH Keywords

spectral analysissingular limitacoustic wavesMoore-Gibson-Thompson equationthird-order evolutionsuniform exponential decaysstrong convergence of semigroup

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Groups and semigroups of linear operators (47D03) Hydro- and aero-acoustics (76Q05)

Related Items (10)

Global well-posedness of the Cauchy problem for the Jordan-Moore-Gibson-Thompson equation with arbitrarily large higher-order Sobolev norms ⋮ Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation ⋮ Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation ⋮ Analysis of a thermoelastic problem with the Moore-Gibson-Thompson microtemperatures ⋮ Strongly \(L^p\) well-posedness for abstract time-fractional Moore-Gibson-Thompson type equations ⋮ Continuous dependence and convergence for Moore-Gibson-Thompson heat equation ⋮ Asymptotic behaviors for the Jordan-Moore-Gibson-Thompson equation in the viscous case ⋮ The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case ⋮ Vanishing relaxation time dynamics of the Jordan Moore-Gibson-Thompson equation arising in nonlinear acoustics ⋮ The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations

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