Acceleration in integro-differential combustion equations
| Autor: | Bouin, Emeric, Coville, Jérôme, Legendre, Guillaume |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: Version 0. Changes to come. arXiv admin note: substantial text overlap with arXiv:2105.09911 |
| Databáze: | arXiv |
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