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On the equation of a curved flame front. (English) Zbl 0695.35210
Summary: A strongly nonlinear, spatially invariant equation for the dynamics of premixed flame is derived, on the assumption that the curvature of the flame front is small. The equation generalizes the corresponding weakly nonlinear equation, obtained previously near the stability threshold.

MSC:
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
80A99 Thermodynamics and heat transfer
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