TY - JOUR
T1 - On the κ-θ model of cellular flames
T2 - Existence in the large and asymptotics
AU - Brauner, Claude Michel
AU - Frankel, Michael L.
AU - Hulshof, Josephus
AU - Lunardi, Alessandra
AU - Sivashinsky, Gregory I.
PY - 2008/3
Y1 - 2008/3
N2 - We consider the κ-θ model of flame front dynamics introduced in [6]. We show that a space-periodic problem for the latter system of two equations is globally well-posed. We prove that near the instability threshold the front is arbitrarily close to the solution of the Kuramoto-Sivashinsky equation on a fixed time interval if the evolution starts from close configurations. The dynamics generated by the model is illustrated by direct numerical simulation.
AB - We consider the κ-θ model of flame front dynamics introduced in [6]. We show that a space-periodic problem for the latter system of two equations is globally well-posed. We prove that near the instability threshold the front is arbitrarily close to the solution of the Kuramoto-Sivashinsky equation on a fixed time interval if the evolution starts from close configurations. The dynamics generated by the model is illustrated by direct numerical simulation.
KW - Combustion
KW - Front dynamics
KW - Kuramoto - Sivashinsky equation
KW - Premixed flames
UR - http://www.scopus.com/inward/record.url?scp=84864630030&partnerID=8YFLogxK
U2 - 10.3934/dcdss.2008.1.27
DO - 10.3934/dcdss.2008.1.27
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AN - SCOPUS:84864630030
SN - 1937-1632
VL - 1
SP - 29
EP - 39
JO - Discrete and Continuous Dynamical Systems - Series S
JF - Discrete and Continuous Dynamical Systems - Series S
IS - 1
ER -