Weakly nonlinear asymptotics of the \(k-\theta\) model of cellular flames: the Q-S equation

DOI10.4171/IFB/117zbMath1087.35092MaRDI QIDQ2387127

Josephus Hulshof, Claude-Michel Brauner, Gregory I. Sivashinsky, Michael L. Frankel

Publication date: 1 September 2005

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

zbMATH Keywords

Lewis numberKuramoto-Sivashinsky modelZeldovich number\(k-\theta\) model of flame dynamicsflame propagation model

Mathematics Subject Classification ID

Related Items (11)

Stability and attractors for the quasi-steady equation of cellular flames ⋮ An ignition-temperature model with two free interfaces in premixed flames ⋮ On a strongly damped wave equation for the flame front ⋮ Stability for a class of nonlinear pseudo-differential equations ⋮ Asymptotic analysis in a gas-solid combustion model with pattern formation ⋮ The existence of intrinsic rotating wave solutions of a flame/smoldering-front evolution equation ⋮ Well-posedness of a two-dimensional coordinate-free model for the motion of flame fronts ⋮ Analysis of Kuramoto-Sivashinsky Model of Flame/Smoldering Front by Means of Curvature Driven Flow ⋮ Rigorous derivation of the Kuramoto-Sivashinsky equation from a 2D weakly nonlinear Stefan problem ⋮ Modeling and simulation of fingering pattern formation in a combustion model ⋮ Well-Posedness and Asymptotics of a Coordinate-Free Model of Flame Fronts

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• On Flame Propagation Under Conditions of Stoichiometry
• Ekman layers of rotating fluids, the case of well prepared initial data
• SINGULAR CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR SOLUTIONS TO THE CAUCHY PROBLEM FOR THE COMPRESSIBLE EULER EQUATIONS WITH DAMPING
• A critical case of stability in a free boundary problem

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