TY - JOUR
T1 - A regularized KS equation describing the formation of cellular flames
AU - Matalon, M.
AU - Rosenau, P.
N1 - Funding Information:
M.M. would like to acknowledge the hospitality of the Department of Mathematics at the Technion in spring 1988, during which this work has been corn-pleted. This trip has been sponsored by the Isaac Taylor Visiting Professorship fund. His work was also supported in part by the National Science Foundation and the Department of Energy. P.R.. was sup-ported in part by U.S. Air Force contract AFOSR-85-0017, by the U.S. Department of Energy, Applied Mathematical Sciences Research Program, KC-07-01-01 and in part by the S. Faust Research Fund at the Technion.
PY - 1988/10/31
Y1 - 1988/10/31
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=45549119660&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(88)90729-3
DO - 10.1016/0375-9601(88)90729-3
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AN - SCOPUS:45549119660
VL - 133
SP - 23
EP - 28
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 1-2
ER -