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

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

2003-02-11

arxiv.org/abs/nlin/0302019v2

Phys. Rev. Lett. 76, 146-149 (1996)

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.76.146

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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