title: Instanton solutions in the problem of wrinkled flame-front dynamics.
abstract: The statistics of the slopes of wrinkling flames propagating through an infinitely wide channel is investigated by the quantum-field-theory methods. We dwell on the WKB approximation in the functional integral, which is analogous to the Wyld functional integral in turbulence. The main contribution to statistics is due to a coupled field-force configuration. This configuration is related to a kink between metastable exact pole solutions of the Sivashinsky equation. These kinks are responsible for both the formation of new cusps and the rapid power-law acceleration of the mean flame front. The problem of asymptotic stability of the solutions is discussed.
authors.affiliation: Solid State Electronics Department, Research Institute of Physics, St.-Petersburg State University, St. Petersburg, Russia. volchen@cpt.univ-mrs.fr
authors.forename: D
authors.initials: D
authors.lastname: Volchenkov
authors.forename: R
authors.initials: R
authors.lastname: Lima