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Pole solutions for flame front propa...
~
Kupervasser, Oleg.
Pole solutions for flame front propagation[electronic resource] /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
杜威分類號:
515.355
書名/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.
Contained By:
Springer eBooks
標題:
Nonlinear integral equations.
標題:
Differential equations, Nonlinear.
標題:
Combustion - Mathematical models.
標題:
Engineering.
標題:
Appl.Mathematics/Computational Methods of Engineering.
標題:
Plasma Physics.
標題:
Engineering Fluid Dynamics.
ISBN:
9783319188454 (electronic bk.)
ISBN:
9783319188447 (paper)
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.
摘要、提要註:
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.
電子資源:
http://dx.doi.org/10.1007/978-3-319-18845-4
Pole solutions for flame front propagation[electronic resource] /
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:
633358
Nonlinear integral equations.
LC Class. No.: QA431
Dewey Class. No.: 515.355
Pole solutions for flame front propagation[electronic resource] /
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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.
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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.
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