An analytical treatment of the formation of one-dimensional steady shock waves in uniform and diverging ducts

DOI10.1016/0377-0427(84)90057-8zbMath0543.76090OpenAlexW2028299084MaRDI QIDQ796397

F. A. Howes

Publication date: 1984

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(84)90057-8

zbMATH Keywords

Boundary value problemsducts of uniform and variable cross-sectioninterior transitionone-dimensional steady shock wavesRankine-Hugoniot condition, Prandtl's relationshock layer structuresufficient conditions for the existenceuniform and diverging ducts

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10)

Related Items (2)

Some Stability Results for Advection-Diffusion Equations ⋮ On the asymptotic solution of the singularly perturbed boundary value problems posed by Bohé

Cites Work

• Unnamed Item
• Boundary-interior layer interactions in nonlinear singular perturbation theory
• On Non‐Linear Ordinary Differential Equations of Boundary Layer Type
• A Boundary Value Problem for a Nonlinear Differential Equation with a Small Parameter

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