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arXiv · 2105.09946

Acceleration in integro-differential combustion equations

Emeric Bouin·Jérôme Coville·Guillaume Legendre
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Abstract

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.

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Emeric Bouin, Jérôme Coville, Guillaume Legendre. 2021-05-20. Acceleration in integro-differential combustion equations. https://arxiv.org/abs/2105.09946

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