We consider a model formulation of the flame front propagation in turbulent premixed combustion based on
stochastic fluctuations imposed to the mean flame position. In particular, the mean flame motion is described by a
G-equation, while the fluctuations are described according to a probability density function which characterizes the
underlying stochastic motion of the front. The proposed approach reproduces as special cases the G-equation along
the motion of the mean flame position, when the stochastic fluctuations are removed, and the Zimont & Lipatnikov
model, when a Gaussian density for fluctuations is used together with the assumption of a plane front. The
potentiality of the approach is here investigated further focusing on the Darrieus-Landau (hydrodynamic)
instabilities. In particular, this model formulation is set to lead to the Michelson-Sivashinsky equation. Furthermore,
a formula that connects the consumption speed and the front curvature is established.PhD Grant "La Caixa 2014
