### Abstract

Here the propagation of flame fronts for turbulent reaction diffusion equations is established for model velocity fields that are random and fractal unidirectional shear flows. It is established here that the flame fronts that exhibit anomalous scaling and are likely to be fractal themselves can be described through solutions of a suitable variational inequality. Despite the special nature of the random shear flows, these are the first rigorous results on front propagation with fractal fields.

Original language | English (US) |
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Pages (from-to) | 1337-1348 |

Number of pages | 12 |

Journal | Communications on Pure and Applied Mathematics |

Volume | 51 |

Issue number | 11-12 |

State | Published - Nov 1 1998 |

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

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## Cite this

Majda, A. J., & Souganidis, P. (1998). Flame fronts in a turbulent combustion model with fractal velocity fields.

*Communications on Pure and Applied Mathematics*,*51*(11-12), 1337-1348.