On a strongly damped wave equation for the flame front

DOI10.1007/s11401-010-0616-1zbMath1221.35252OpenAlexW2040266540MaRDI QIDQ619645

Chuanju Xu, Claude-Michel Brauner, Gregory I. Sivashinsky, Luca Lorenzi

Publication date: 25 January 2011

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-010-0616-1

zbMATH Keywords

Kuramoto-Sivashinsky equationperiodic boundary conditionsanalytic semigroupsspectral methodfront dynamics

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Perturbations in context of PDEs (35B20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)

Related Items (7)

An ignition-temperature model with two free interfaces in premixed flames ⋮ Stability analysis and Hopf bifurcation at high Lewis number in a combustion model with free interface ⋮ Asymptotic analysis in a gas-solid combustion model with pattern formation ⋮ Instability of free interfaces in premixed flame propagation ⋮ Rigorous derivation of the Kuramoto-Sivashinsky equation from a 2D weakly nonlinear Stefan problem ⋮ Instabilities in a combustion model with two free interfaces ⋮ Modeling and simulation of fingering pattern formation in a combustion model

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