Uniform asymptotics for spherical and cylindrical nonlinear acoustic waves generated by a sinusoidal source

DOI10.1098/rspa.1981.0048zbMath0487.76072OpenAlexW1968697678MaRDI QIDQ3948765

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Publication date: 1981

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1981.0048

zbMATH Keywords

matched asymptotic expansionsBurgers equationpartial wavesweak shock waveseffects of viscosityspherical and cylindrical wavesnonlinear sound propagation

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Hydro- and aero-acoustics (76Q05) Representations of solutions to partial differential equations (35C99)

Related Items (3)

Spherical nonlinear wave propagation in a dissipative stratified atmosphere ⋮ Kummer function solutions of damped Burgers equations with time-dependent viscosity by exact linearization ⋮ Large-Time Asymptotics for Solutions of a Generalized Burgers Equation with Variable Viscosity

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