### 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) |
---|---|

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 1998 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Communications on Pure and Applied Mathematics*,

*51*(11-12), 1337-1348.

**Flame fronts in a turbulent combustion model with fractal velocity fields.** / Majda, Andrew J.; Souganidis, Panagiotis.

Research output: Contribution to journal › Article

*Communications on Pure and Applied Mathematics*, vol. 51, no. 11-12, pp. 1337-1348.

}

TY - JOUR

T1 - Flame fronts in a turbulent combustion model with fractal velocity fields

AU - Majda, Andrew J.

AU - Souganidis, Panagiotis

PY - 1998/11

Y1 - 1998/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0032332576&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032332576&partnerID=8YFLogxK

M3 - Article

VL - 51

SP - 1337

EP - 1348

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

IS - 11-12

ER -