This book deals with solving mathematically the unsteady flame
propagation equations. New original mathematical methods for
solving complex non-linear equations and investigating their
properties are presented. Pole solutions for flame front
propagation are developed. Premixed flames and filtration
combustion have remarkable properties: the complex nonlinear
integro-differential equations for these problems have exact
analytical solutions described by the motion of poles in a complex
plane. Instead of complex equations, a finite set of ordinary
differential equations is applied. These solutions help to
investigate analytically and numerically properties of the flame
front propagation equations.
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