A regularized KS equation describing the formation of cellular flames

M. Matalon*, P. Rosenau

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


In this note we derive an evolution that models the spontaneous instability of a flame front which, although formally correct to the same order as the Kuramoto-Sivashinsky equation, contains a meaningful modification coming into play primarily in regions of large gradients. The approach used is a regularization procedure that modifies the conventional expansion procedure which fails whenever the gradients become large; the new equation is believed to better describe the formation of patterns on the flame front.

Original languageEnglish
Pages (from-to)23-28
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number1-2
StatePublished - 31 Oct 1988
Externally publishedYes


FundersFunder number
National Science Foundation and the Department of Energy
S. Faust Research Fund
U.S. Department of EnergyKC-07-01-01
U.S. Air ForceAFOSR-85-0017
Technion-Israel Institute of Technology


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