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Pole solutions for flame front propa...

Kupervasser, Oleg.

Pole solutions for flame front propagation

Record Type:	Electronic resources : Monograph/item
Title/Author:	Pole solutions for flame front propagationby Oleg Kupervasser.
Author:	Kupervasser, Oleg.
Published:	Cham :Springer International Publishing :2015.
Description:	x, 118 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Nonlinear integral equations.
Online resource:	http://dx.doi.org/10.1007/978-3-319-18845-4
ISBN:	9783319188454 (electronic bk.)

Pole solutions for flame front propagation
Kupervasser, Oleg.

Pole solutions for flame front propagation[electronic resource] /by Oleg Kupervasser. - Cham :Springer International Publishing :2015. - x, 118 p. :ill. (some col.), digital ;24 cm. - Mathematical and analytical techniques with applications to engineering,1559-7458. - Mathematical and analytical techniques with applications to engineering..

Introduction -- Pole-Dynamics in Unstable Front Propagation: The Case of the Channel Geometry -- Using of Pole Dynamics for Stability Analysis of Premixed Flame Fronts: Dynamical Systems Approach in the Complex Plane -- Dynamics and Wrinkling of Radially Propagating Fronts Inferred from Scaling Laws in Channel Geometries -- Laplacian Growth Without Surface Tension in Filtration Combustion: Analytical Pole Solution -- Summary.

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.

ISBN: 9783319188454 (electronic bk.)

Standard No.: 10.1007/978-3-319-18845-4doiSubjects--Topical Terms:

262910
Nonlinear integral equations.

LC Class. No.: QA431

Dewey Class. No.: 515.355

Pole solutions for flame front propagation
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100 1 $a Kupervasser, Oleg. $3 727897
245 1 0 $a Pole solutions for flame front propagation $h [electronic resource] / $c by Oleg Kupervasser.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a x, 118 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Mathematical and analytical techniques with applications to engineering, $x 1559-7458
505 0 $a Introduction -- Pole-Dynamics in Unstable Front Propagation: The Case of the Channel Geometry -- Using of Pole Dynamics for Stability Analysis of Premixed Flame Fronts: Dynamical Systems Approach in the Complex Plane -- Dynamics and Wrinkling of Radially Propagating Fronts Inferred from Scaling Laws in Channel Geometries -- Laplacian Growth Without Surface Tension in Filtration Combustion: Analytical Pole Solution -- Summary.
520 $a 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.
650 0 $a Nonlinear integral equations. $3 262910
650 0 $a Differential equations, Nonlinear. $3 185178
650 0 $a Combustion $x Mathematical models. $3 234958
650 1 4 $a Engineering. $3 210888
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 273758
650 2 4 $a Plasma Physics. $3 376276
650 2 4 $a Engineering Fluid Dynamics. $3 273893
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830 0 $a Mathematical and analytical techniques with applications to engineering. $3 727898
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-18845-4
950 $a Engineering (Springer-11647)