The zero relaxation behavior of piecewise smooth solutions to the reacting flow model in the presence of shocks

DOI10.1016/S0362-546X(99)00148-0zbMath1024.76059WikidataQ127251574 ScholiaQ127251574MaRDI QIDQ1582408

Ling Hsiao, Ronghua Pan, Hai-liang Li

Publication date: 16 November 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

shockconvergenceexistenceRankine-Hugoniot conditionnonlinear hyperbolic problemmatched multiscale asymptotic analysisone-dimensional reacting flowsingle-shot solutionvanishing relaxation time

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shock waves and blast waves in fluid mechanics (76L05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Reaction effects in flows (76V05)

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Cites Work

• Hyperbolic conservation laws with relaxation
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• The fluid-dynamic limit of the Broadwell model of the nonlinear Boltzmann equation in the presence of shocks
• The linear stability of traveling wave solutions for a reacting flow model with source term
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
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