A comparison analysis of Sivashinsky's type evolution equations describing flame propagation in channels

DOI10.1016/S0375-9601(03)00007-0zbMath1008.80003OpenAlexW2076081666MaRDI QIDQ1858111

Domingos H. U. Marchetti, Leonardo F. Guidi

Publication date: 11 February 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(03)00007-0

zbMATH Keywords

global stability analysissteady solutionsquasilinear parabolic differential equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Combustion (80A25)

Related Items (2)

Resolvent methods for steady premixed flame shapes governed by the Zhdanov–Trubnikov equation ⋮ An approximate solution to an initial boundary value problem: Rakib–Sivashinsky equation

Cites Work

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• The cellular nature of hydrodynamic flame instability
• Geometric theory of semilinear parabolic equations
• Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments
• Metastability for a generalized Burgers equation with applications to propagating flame fronts
• Stability of Pole Solutions for Planar Propagating Flames: I. Exact Eigenvalues and Eigenfunctions
• Stability of Pole Solutions for Planar Propagating Flames: II. Properties of Eigenvalues/Eigenfunctions and Implications to Stability
• On the intrinsic dynamics of premixed flames
• Renormalization group flow of the two-dimensional hierarchical Coulomb gas
• Metastability in a flame front evolution equation

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