Article ID Journal Published Year Pages File Type
8256410 Physica D: Nonlinear Phenomena 2015 5 Pages PDF
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 N≥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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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