The initial formation and structure of two-dimensional diffusive shock waves

DOI10.1016/S0165-2125(86)80049-XzbMath0596.35085MaRDI QIDQ1078413

Richard Haberman

Publication date: 1986

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

zbMATH Keywords

surfacesingularitiesBurgers' equationweak dissipationquasilinear equationcausticRankine-Hugoniot shock conditionstwo-dimensional shock waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

On analogs of wave catastrophe functions that are solutions of nonlinear integrable equations

Cites Work

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• Compressible fluid flow and systems of conservation laws in several space variables
• Applications of catastrophe theory to the physical sciences
• Singularities and groups in bifurcation theory. Volume I
• Note on the Initial Formation of Shocks
• Singularities, bifurcations, and catastrophes
• Wave front evolution and equivariant Morse lemma
• The hodograph transformation in trans-sonic flow. II. Auxiliary theorems on the hypergeometric functions ψ _n (ז)
• The partial differential equation u_t + uu_x = μ_xx
• On a quasi-linear parabolic equation occurring in aerodynamics

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