• Corpus ID: 235125561

Acceleration in integro-differential combustion equations

  title={Acceleration in integro-differential combustion equations},
  author={Emeric Bouin and J{\'e}r{\^o}me Coville and Guillaume Legendre},
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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