The Taylor internal structure of weak shock waves

DOI10.1017/S0022112086001295zbMath0623.76069OpenAlexW1975696818MaRDI QIDQ3761953

David G. Crighton

Publication date: 1986

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112086001295

zbMATH Keywords

cubic nonlinearitynonlinear convectiondensity stratificationthermoviscous diffusionelectromagnetic waves in nonlinear dielectricsinterior structure of a weak shock wavequadratic (gasdynamic nonlinearityTaylor shock structuretransverse waves in solid mediaweak-shock theory

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Nonlinear effects in hydrodynamic stability (76E30) Shock waves and blast waves in fluid mechanics (76L05) Diffraction, scattering (78A45) Impact in solid mechanics (74M20) Basic methods in fluid mechanics (76M99)

Related Items (6)

Nonlinear waves in electromigration dispersion in a capillary ⋮ Overturning of nonlinear compressional and shear waves subject to power-law attenuation or relaxation ⋮ Sonic shocks governed by the modified Burgers' equation ⋮ Acoustic traveling waves in thermoviscous perfect gases: kinks, acceleration waves, and shocks under the Taylor-Lighthill balance ⋮ Spherical nonlinear wave propagation in a dissipative stratified atmosphere ⋮ A general scheme for the derivation of evolution equations describing mixed nonlinearity

Cites Work

• On the propagation of waves exhibiting both positive and negative nonlinearity
• Saturation of a nonlinear cylindrical sound wave generated by a sinusoidal source
• Asymptotic behavior of the N-wave solution of Burgers’ generalized equation for cylindrical acoustic waves
• PLANE SOUND WAVES OF FINITE AMPLITUDE
• Propagation of spherical and cylindrical N-waves

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