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The Geometry of Developing Flame Fronts: Analysis with Pole Decomposition | | Oleg Kupervasser
; Zeev Olami
; Itamar Procaccia
; | | Date: |
11 Feb 2003 | | Subject: | Pattern Formation and Solitons; Exactly Solvable and Integrable Systems | nlin.PS nlin.SI | | 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. | | Source: | arXiv, nlin.PS/0302019 | | Services: | Forum | Review | PDF | Favorites | |
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