On the pulsating instability of two-dimensional flames

DOI10.1017/S0956792500000681zbMath0767.35101MaRDI QIDQ3991976

José M. Vega, Carlos Alvarez Pereira

Publication date: 28 June 1992

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Burgers equationGinzburg-Landau equationslarge-activation-energy limitpropagation of a premixed, adiabatic flame front

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Classical flows, reactions, etc. in chemistry (92E20) Combustion (80A25)

Related Items

Global stability properties of a hyperbolic system arising in pattern formation ⋮ Justification of mean-field coupled modulation equations ⋮ Dynamics of counterpropagating waves in parametrically forced systems ⋮ Traveling and spiral waves for sequential flames with translation symmetry: coupled CGL-Burgers equations ⋮ Coupled KS-CGL and coupled Burgers-CGL equations for flames governed by a sequential reaction ⋮ A complex Swift-Hohenberg equation coupled to the Goldstone mode in the nonlinear dynamics of flames

Cites Work

• Unnamed Item
• Propagation of a Pulsating Flame Front in a Gaseous Combustible Mixture
• Flame Propagation in Channels: Secondary Bifurcation to Quasi-Periodic Pulsations
• A Nonlinear Wave Equation in Nonadiabatic Flame Propagation
• New Modes of Quasi-Periodic Combustion Near a Degenerate Hopf Bifurcation Point
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments
• An Asymptotic Derivation of Two Models in Flame Theory Associated with the Constant Density Approximation
• Interaction of Pulsating and Spinning Waves in Nonadiabatic Flame Propagation
• Traveling Waves Along the Front of a Pulsating Flame