Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256410 | Physica D: Nonlinear Phenomena | 2015 | 5 Pages |
Abstract
The nonlinear nonlocal Michelson-Sivashinsky equation for isolated crests of unstable flames is studied, using pole-decompositions as starting point. Polynomials encoding the numerically computed 2N flame-slope poles, and auxiliary ones, are found to closely follow a Meixner-Pollaczek recurrence; accurate steady crest shapes ensue for Nâ¥3. Squeezed crests ruled by a discretized Burgers equation involve the same polynomials. Such explicit approximate shapes still lack for finite-N pole-decomposed periodic flames, despite another empirical recurrence.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Bruno Denet, Guy Joulin,