Coherent Structures in Flame Fronts
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915414697574400 |
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| author | Aitzhan, Sultan Akers, Benjamin F. Ambrose, David M. |
| author_facet | Aitzhan, Sultan Akers, Benjamin F. Ambrose, David M. |
| contents | We study traveling waves in a coordinate-free model of flame fronts. The flame front is the interface between the burnt and unburnt phases of a gas undergoing combustion. The front therefore moves in a preferred direction, as the unburnt gas is consumed. In the horizontally periodic, vertically unbounded setting, we prove the existence of waves of permanent form which are traveling in the vertical direction. We also compute these waves. The analysis and computation use the framework of traveling waves in the arclength parameterization as previously developed by two of the authors and Wright. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20918 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coherent Structures in Flame Fronts Aitzhan, Sultan Akers, Benjamin F. Ambrose, David M. Analysis of PDEs Pattern Formation and Solitons 35C07, 35B32, 80A25, 80M22 We study traveling waves in a coordinate-free model of flame fronts. The flame front is the interface between the burnt and unburnt phases of a gas undergoing combustion. The front therefore moves in a preferred direction, as the unburnt gas is consumed. In the horizontally periodic, vertically unbounded setting, we prove the existence of waves of permanent form which are traveling in the vertical direction. We also compute these waves. The analysis and computation use the framework of traveling waves in the arclength parameterization as previously developed by two of the authors and Wright. |
| title | Coherent Structures in Flame Fronts |
| topic | Analysis of PDEs Pattern Formation and Solitons 35C07, 35B32, 80A25, 80M22 |
| url | https://arxiv.org/abs/2507.20918 |