TY - JOUR
T1 - Geometry of developing flame fronts
T2 - Analysis with pole decomposition
AU - Kupervasser, Oleg
AU - Olami, Zeev
AU - Procaccia, Itamar
PY - 1996
Y1 - 1996
N2 - The roughening of expanding flame fronts by the accretion of cusplike singularities is a fascinating example of the interplay between instability, noise, and nonlinear dynamics that is reminiscent of self-fractalization in Laplacian growth patterns. The nonlinear integro-differential equation that describes the dynamics of expanding flame fronts is amenable to analytic investigations using pole decomposition. This powerful technique allows the development of a satisfactory understanding of the qualitative and some quantitative aspects of the complex geometry that develops in expanding flame fronts.
AB - The roughening of expanding flame fronts by the accretion of cusplike singularities is a fascinating example of the interplay between instability, noise, and nonlinear dynamics that is reminiscent of self-fractalization in Laplacian growth patterns. The nonlinear integro-differential equation that describes the dynamics of expanding flame fronts is amenable to analytic investigations using pole decomposition. This powerful technique allows the development of a satisfactory understanding of the qualitative and some quantitative aspects of the complex geometry that develops in expanding flame fronts.
UR - http://www.scopus.com/inward/record.url?scp=0001720772&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.76.146
DO - 10.1103/PhysRevLett.76.146
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0001720772
SN - 0031-9007
VL - 76
SP - 146
EP - 149
JO - Physical Review Letters
JF - Physical Review Letters
IS - 1
ER -