Instanton solutions in the problem of wrinkled flame-front dynamics - art.no. 011204

The statistics of the slopes of wrinkling flames propagating through an inf initely wide channel is investigated by the quantum-held-theory methods. We dwell on the WKB approximation in the functional integral, which is analog ous to the Wyld functional integral in turbulence. The main contribution to statistics is due to a coupled field-force configuration. This configurati on is related to a kink between metastable exact pole solutions of the Siva shinsky equation. These kinks are responsible for both the formation of new cusps and the rapid power-law acceleration of the mean flame front. The pr oblem of asymptotic stability of the solutions is discussed.