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.
On the κ-θ model of cellular flames: Existence in the large and asymptotics / Brauner, C. -M.; Frankel, M. L.; Hulshof, J.; Lunardi, A.; Sivashinsky, G. I.. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - 1:1(2008), pp. 29-39. [10.3934/dcdss.2008.1.27]
On the κ-θ model of cellular flames: Existence in the large and asymptotics
Lunardi A.;
2008-01-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
