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A model equation in combustion theory exhibiting an infinite number of secondary bifurcations

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Publication:1094981
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DOI10.1016/0167-2789(87)90126-6zbMath0631.76069OpenAlexW1991184346MaRDI QIDQ1094981

Michael Renardy

Publication date: 1987

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(87)90126-6


zbMATH Keywords

periodic solutionscombustion theoryinfinite number of branches of solutionsinfinite number of secondary bifurcationsrational trigonometric functions


Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Combustion (80A25) Partial differential equations of mathematical physics and other areas of application (35Q99) Bifurcations in context of PDEs (35B32)


Related Items (1)

The cellular nature of hydrodynamic flame instability




Cites Work

  • Unnamed Item
  • Existence of steady progressive waves of a certain model equation in combustion theory
  • Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
  • Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments




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