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Pole solutions for flame front propa...

Kupervasser, Oleg.

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Pole solutions for flame front propagation

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Pole solutions for flame front propagation/ by Oleg Kupervasser.
作者:	Kupervasser, Oleg.
出版者:	Cham :Springer International Publishing : : 2015.,
面頁冊數:	x, 118 p. :ill. (some col.), digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Nonlinear integral equations. -
電子資源:	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:

811855
Nonlinear integral equations.

LC Class. No.: QA431

Dewey Class. No.: 515.355

Pole solutions for flame front propagation
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245 1 0 $a Pole solutions for flame front propagation $h [electronic resource] / $c by Oleg Kupervasser.
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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.
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