The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations

DOI10.1137/21M139390XzbMath1475.35282arXiv2101.05488OpenAlexW3186540627MaRDI QIDQ5002514

Vanja Nikolić, Barbara Kaltenbacher

Publication date: 27 July 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.05488

zbMATH Keywords

convergence ratesnonlinear acousticsinviscid limitrelaxing media

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Wave equation (35L05) Hydro- and aero-acoustics (76Q05) Second-order quasilinear hyperbolic equations (35L72)

Related Items (10)

Global well-posedness of the Cauchy problem for the Jordan-Moore-Gibson-Thompson equation with arbitrarily large higher-order Sobolev norms ⋮ Time-fractional Moore–Gibson–Thompson equations ⋮ Asymptotic behavior of nonlinear sound waves in inviscid media with thermal and molecular relaxation ⋮ Asymptotic behaviors for Blackstock's model of thermoviscous flow ⋮ High-frequency magnetohydrodynamics ⋮ Asymptotic behaviors for the Jordan-Moore-Gibson-Thompson equation in the viscous case ⋮ Boundary controllability for the 1D Moore-Gibson-Thompson equation ⋮ Nonlinear acoustic equations of fractional higher order at the singular limit ⋮ \(L_p-L_q\)-theory for a quasilinear non-isothermal westervelt equation ⋮ On an inverse problem of nonlinear imaging with fractional damping

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