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Journal article
Well-Posedness and Asymptotics of a Coordinate-Free Model of Flame Fronts\ast
SIAM journal on applied dynamical systems, v 20(4), pp 2261-2294
01 Jan 2021
Abstract
We investigate a coordinate-free model of flame fronts introduced by Frankel and Sivashinsky; this model has a parameter \alpha which relates to how unstable the front might be. We first prove shorttime well-posedness of the coordinate-free model for any value of \alpha > 0. We then argue that near the threshold \alpha \approx 1, the solution stays arbitrarily close to the solution of the weakly nonlinear Kuramoto-Sivashinsky equation, as long as the initial values are close.
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Details
- Title
- Well-Posedness and Asymptotics of a Coordinate-Free Model of Flame Fronts\ast
- Creators
- David M. Ambrose - Drexel University, MathematicsFazel Hadadifard - Drexel UniversityJ. Douglas Wright - Drexel University
- Publication Details
- SIAM journal on applied dynamical systems, v 20(4), pp 2261-2294
- Publisher
- Siam Publications
- Number of pages
- 34
- Grant note
- DMS-1907684 / National Science Foundation; National Science Foundation (NSF)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000736132900010
- Scopus ID
- 2-s2.0-85128637495
- Other Identifier
- 991019169002804721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics, Applied
- Physics, Mathematical