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Flame front propagation I: The Geometry of Developing Flame Fronts: Analysis with Pole Decomposition

Oleg Kupervasser·Zeev Olami·Itamar Procaccia
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Abstract

The roughening of expanding flame fronts by the accretion of cusp-like 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.

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Oleg Kupervasser, Zeev Olami, Itamar Procaccia. 2011-08-17. Flame front propagation I: The Geometry of Developing Flame Fronts: Analysis with Pole Decomposition. https://doi.org/10.1103/physrevlett.76.146

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