Instability of pole solutions for planar propagating flames in sufficiently large domains

DOI10.1088/1364-7830/2/1/002zbMath0935.80007OpenAlexW2095954705MaRDI QIDQ4258945

M. Rahibe, Nadine Aubry, Gregory I. Sivashinsky

Publication date: 7 May 2000

Published in: Combustion Theory and Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1364-7830/2/1/002

zbMATH Keywords

hydrodynamically unstable planar flame front

Mathematics Subject Classification ID

Combustion (80A25) Solutions to PDEs in closed form (35C05)

Related Items (6)

ESTIMATION OF THE LINEAR TRANSIENT GROWTH OF PERTURBATIONS OF CELLULAR FLAMES ⋮ Computational analysis of the steady states of the Sivashinsky model of hydrodynamic flame instability ⋮ Dynamics of hydrodynamically unstable premixed flames in a gravitational field – local and global bifurcation structures ⋮ High accuracy periodic solutions to the Sivashinsky equation ⋮ Nonlinear equation for curved stationary flames ⋮ Numerical simulation of flames as gas-dynamic discontinuities

Cites Work

• The cellular nature of hydrodynamic flame instability
• Power-law behavior of Lyapunov exponents in some conservative dynamical systems
• On self-acceleration of outward propagating wrinkled flames
• Ergodic theory of chaos and strange attractors

This page was built for publication: Instability of pole solutions for planar propagating flames in sufficiently large domains