Mathematical analysis of memory effects and thermal relaxation in nonlinear sound waves on unbounded domains

DOI10.1016/j.jde.2020.11.047zbMath1455.35279arXiv2003.11840OpenAlexW3111347935MaRDI QIDQ2217303

Vanja Nikolić, Belkacem Said-Houari

Publication date: 29 December 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.11840

zbMATH Keywords

nonlinear acousticsmemory kernelnonlocal wave equationrelaxing media

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Higher-order nonlinear hyperbolic equations (35L75) Integro-partial differential equations (35R09)

Related Items (9)

Asymptotic profiles and singular limits for the viscoelastic damped wave equation with memory of type I ⋮ Global existence for the Jordan-Moore-Gibson-Thompson equation in Besov spaces ⋮ Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation ⋮ Asymptotic behaviors for Blackstock's model of thermoviscous flow ⋮ A general stability result for a viscoelastic Moore-Gibson-Thompson equation in the whole space ⋮ Global well-posedness of the Cauchy problem for the 3D Jordan–Moore–Gibson–Thompson equation ⋮ The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case ⋮ General decay of the Cauchy problem for a Moore-Gibson-Thompson equation with memory ⋮ On the well-posedness and general decay results of Moore-Gibson-Thompson equation with memory

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