Strong Convergent Shock Waves Near the Center of Convergence:A Power Series Solution

DOI10.1137/0148076zbMath0655.76054OpenAlexW1982843747MaRDI QIDQ3802802

Peter Hafner

Publication date: 1988

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0148076

zbMATH Keywords

Lagrangian formulationpower series representationquiescent perfect gas of zero pressureself-similar convergent shock problem

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Shock waves and blast waves in fluid mechanics (76L05) Gas dynamics (general theory) (76N15) First-order nonlinear hyperbolic equations (35L60) Series solutions to PDEs (35C10) Basic methods in fluid mechanics (76M99)

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