Old-age behaviour of cylindrical and spherical nonlinear waves: numerical and asymptotic results

DOI10.1098/rspa.1989.0036zbMath0675.76087OpenAlexW2100869528MaRDI QIDQ3830740

P. W. Hammerton, David G. Crighton

Publication date: 1989

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.1989.0036

zbMATH Keywords

nonlinear evolutiongeneralized Burgers equationsthermoviscous dissipationspherical acoustic wavesinitially discontinuous profilesOld-age asymptotic solutions

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05)

Related Items (4)

Numerical and asymptotic solutions of generalised Burgers' equation ⋮ Spherical nonlinear wave propagation in a dissipative stratified atmosphere ⋮ Symmetry reductions and new exact invariant solutions of the generalized Burgers equation arising in nonlinear acoustics ⋮ Effect of molecular relaxation on the propagation of sonic booms through a stratified atmosphere

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