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Localized wrinkles of thin premixed flames subject to hydrodynamicinstability and geometrical stretch of uniform intensity (S) are studied. Astretch-affected nonlinear and nonlocal equation, derived from an inhomogeneousMichelson-Sivashinsky equation, is used as a starting point, and poledecompositions are used as a tool. Analytical and numerical descriptions ofisolated (centered or multicrested) wrinkles with steady shapes (in a frame)and various amplitudes are provided; their number increases rapidly with 1/S >0. A large constantS > 0 weakens or suppresses all localized wrinkles (thelarger the wrinkles, the easier the suppression), whereasS < 0 strengthensthem; oscillations of S further restrict their existence domain. Self-similarevolutions of unstable many-crested patterns are obtained. A link betweenstretch, nonlinearity, and instability with the cutoff size of the wrinkles inturbulent flames is suggested. Open problems are evoked.

Wrinkled flames and geometrical stretch