# (Bounded) Traveling Combustion Fronts With Degenerate Kinetics

Source: [(Bounded) Traveling Combustion Fronts With Degenerate Kinetics](<https://www.sota2.com/research/paper/68fa56581e209131ce99c162>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T14:06:49.262Z

Authors: Natha\\"el Alibaud, Gawtum Namah

Published: 2019-10-31T10:58:27.000Z

## Abstract

We consider the propagation of a flame front in a solid periodic medium. The model is governed by a free boundary system in which the front's velocity depends on the temperature via a kinetic rate which may degenerate. We show the existence of travelling wave solutions which are bounded and global. Previous results by the same authors (cf. Alibaud, Namah, On the propagation of a periodic flame front by an Arrhenius kinetic,{\\it Interfaces Free Bound.,} 2017) were obtained for essentially positively lower bounded kinetics or eventually which have some very weak degeneracy. Here we consider general degenerate kinetics, including in particular those of Arrhenius type which are commonly used in physics.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1910.14371>)

[PDF](<https://arxiv.org/pdf/1910.14371.pdf>)