Strongly Nonlinear Asymptotic Model of Cellular Instabilities in Premixed Flames with Stepwise Ignition-Temperature Kinetics

DOI10.1137/16M110890XzbMath1398.35120arXiv1612.06763OpenAlexW2615459347MaRDI QIDQ4977147

Nathan Kilker, Peter V. Gordon, Leonid S. Kagan, Gregory I. Sivashinsky, Dmitry Golovaty

Publication date: 3 August 2017

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

Full work available at URL: https://arxiv.org/abs/1612.06763

zbMATH Keywords

reaction-diffusion systemsasymptotic modelscellular flamescombustion interfaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Combustion (80A25) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35) Second-order parabolic systems (35K40) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Quasilinear parabolic equations with mean curvature operator (35K93)

Related Items (3)

Phenomenological model of chain-branching premixed flames ⋮ Piecewise Linear Model of Phytoplankton Wave Propagation in Periodical Vortex Flow ⋮ Uniqueness of traveling fronts in premixed flames with stepwise ignition-temperature kinetics and fractional reaction order

Cites Work

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• Solution of adiabatic and nonadiabatic combustion problems using step-function reaction models
• Chemical oscillations, waves, and turbulence
• Theoretical and Numerical Structure for Reacting Shock Waves
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Momentum loss as a mechanism for deflagration-to-detonation transition
• An ignition-temperature model with two free interfaces in premixed flames

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