### Abstract

A pseudorandom forced analogue of the equation governing the slope function dynamics of the wrinkled flames propagated through an infinitely wide channel by the field-theory methods is addressed. Focus is on the asymptotic solutions of the stochastic problem based on the slope function equation. It is demonstrated that the main contribution to the statistics of slope is given by coupled field-force configurations called the instantons.

Original language | English |
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Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

State | Published - Jul 1 2001 |