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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.

Engineering. --- Appl.Mathematics/Computational Methods of Engineering. --- Plasma Physics. --- Engineering Fluid Dynamics. --- Engineering mathematics. --- Hydraulic engineering. --- Ingénierie --- Mathématiques de l'ingénieur --- Technologie hydraulique --- Combustion -- Mathematical models. --- Differential equations, Nonlinear. --- Nonlinear integral equations. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Applied Mathematics --- Civil Engineering --- Combustion --- Mathematical models. --- Nonlinear differential equations --- Integral equations, Nonlinear --- Plasma (Ionized gases). --- Applied mathematics. --- Fluid mechanics. --- Integral equations --- Nonlinear theories --- Mathematical and Computational Engineering. --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Engineering analysis --- Mathematical analysis --- Mathematics --- Hydromechanics --- Continuum mechanics --- Gaseous discharge --- Gaseous plasma --- Magnetoplasma --- Ionized gases

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Cybernetics. --- Mechanical brains --- Control theory --- Electronics --- System theory