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Acceleration in integro-differential combustion equations

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 نشر من قبل Emeric Bouin
 تاريخ النشر 2021
  مجال البحث
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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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