• Corpus ID: 235125561

# Acceleration in integro-differential combustion equations

@inproceedings{Bouin2021AccelerationII,
title={Acceleration in integro-differential combustion equations},
author={Emeric Bouin and J{\'e}r{\^o}me Coville and Guillaume Legendre},
year={2021}
}
• Published 20 May 2021
• Mathematics
We study acceleration phenomena in monostable integro-differential equations with ignition nonlinearity. Our results cover fractional Laplace operators and standard convolutions in a unified way, which is also a contribution of this paper. To achieve this, we construct a sub-solution that captures the expected dynamics of the accelerating solution, and this is here the main difficulty. This study involves the flattening effect occurring in accelerated propagation phenomena.
1 Citations

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