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MSC 2010: 34A08 (main), 34G20, 80A25
The application of Fractional Calculus in combustion science to model
the evolution in time of the radius of an isolated premixed flame ball is
highlighted. Literature equations for premixed flame ball radius are rederived by a new method that strongly simplifies previous ones. These equations are nonlinear time-fractional differential equations of order 1/2
with a Gaussian underlying diffusion process. Extending the analysis to
self-similar anomalous...
A novel approach to study the propagation of fronts with random motion is presented. This approach is based on the idea to consider the motion of the front, split into a drifting part and a fluctuating part; the front position is also split correspondingly. In particular, the drifting part can be related to existing methods for moving interfaces, for example, the Eulerian level set method and the Lagrangian discrete event system specification. The fluctuating part is the result of a comprehensive...
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