Nonlinear Time-Fractional Differential Equations in Combustion Science


Autoria(s): Pagnini, Gianni
Data(s)

14/06/2012

14/06/2012

2011

Resumo

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 diffusion processes with similarity parameter ν/2 > 0, the evolution equations emerge to be nonlinear time-fractional differential equations of order 1−ν/2 with a non-Gaussian underlying diffusion process.

Identificador

Fractional Calculus and Applied Analysis, Vol. 14, No 1, (2011), 80p-93p

1311-0454

http://hdl.handle.net/10525/1683

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Time-Fractional Derivative #Nonlinear Equation #Anomalous Diffusion #Combustion Science #Premixed Flame Ball
Tipo

Article