Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales

@article{Majda1994LargeSF,
  title={Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales},
  author={A J Majda and P E Souganidis},
  journal={Nonlinearity},
  year={1994},
  volume={7},
  pages={1 - 30}
}
Simplified effective equations for the large scale front propagation of turbulent reaction-diffusion equations are developed here in the simplest prototypical situation involving advection by turbulent velocity fields with two separated scales. A rigorous theory for large scale front propagation is developed, utilizing PDE techniques for viscosity solutions together with homogenization theory for Hamilton-Jacobi equations. The subtle issues regarding the validity of a Huygens principle for the… 

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