Instanton solutions in the problem of wrinkled flame front dynamics

dc.creatorVolchenkov, Dmitri
dc.creatorLima, Ricardo
dc.date1999-11-02
dc.date.accessioned2026-07-07T05:43:31Z
dc.date.available2026-07-07T05:43:31Z
dc.descriptionThe statistics of wrinkling flame front is invetigated by the quantum filed 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 Syvashinsky 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.
dc.description14 pages, 1 figure, Latex
dc.identifierhttps://arxiv.org/abs/patt-sol/9911002
dc.identifierhttp://arxiv.org/abs/patt-sol/9911002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/83335
dc.subjectPattern Formation and Solitons
dc.titleInstanton solutions in the problem of wrinkled flame front dynamics
dc.typetext

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