The structure of non-equilibrium shocks in relaxing media

DOI10.1016/0165-2125(86)90022-3zbMath0575.73030OpenAlexW2079668509MaRDI QIDQ1064120

G. R. Nicklason, R. W. Lardner

Publication date: 1986

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(86)90022-3

zbMATH Keywords

diffusionacoustic wavesclosed form expressionasymptotic behavior of the shock solution at the edges of the shock layerbasic equations for plane motionsestimates of shock widthexistence of a fully relaxed shockgeneral relaxation modulusgeneralized Burgers' equationhigh amplitudeinner and outer expansions are matched to second orderinner and outer perturbation solutionsLighthill's shock displacementnon-equilibrium shocksrelaxing mediastructure of the shock layers

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shock waves and blast waves in fluid mechanics (76L05) Linear constitutive equations for materials with memory (74D05) Impact in solid mechanics (74M20) Nonlinear constitutive equations for materials with memory (74D10)

Related Items (2)

A numerical shock profile in a slowly relaxing medium ⋮ The asymptotic form of shocks in relaxing media

Cites Work

• The structure of shock layers in elastic-plastic media: Micro-plastic regime
• ``Generalized Burgers' equation for nonlinear viscoelastic waves
• Third-order solutions of Burgers’ equation
• The development of plane shock waves in nonlinear viscoelastic media
• Asymptotic solutions of model equations in nonlinear acoustics
• Singular Perturbations of a Class of Nonlinear Hyperbolic and Parabolic Equations
• Non-linear wave propagation in a relaxing gas
• The hodograph transformation in trans-sonic flow. II. Auxiliary theorems on the hypergeometric functions ψ _n (ז)
• The flow pattern of a supersonic projectile

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