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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.
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.
Application of New Cybernetics in Physics describes the application
of new cybernetics to physical problems and the resolution of basic
physical paradoxes by considering external observer influence. This
aids the reader in solving problems that were solved incorrectly or
have not been solved. Three groups of problems of the new
cybernetics are considered in the book: (a) Systems that can be
calculated based on known physics of subsystems. This includes the
external observer influence calculated from basic physical laws
(ideal dynamics) and dynamics of a physical system influenced even
by low noise (observable dynamics). (b) Emergent systems. This
includes external noise from the observer by using the black box
model (complex dynamics), external noise from the observer by using
the observer's intuition (unpredictable dynamics), defining
boundaries of application of scientific methods for system behavior
prediction, and the role of the observer's intuition for
unpredictable systems. (c) Methods for solution of basic physical
paradoxes by using methods of the new cybernetics: the entropy
increase paradox, Schroedinger's cat paradox (wave package
reduction in quantum mechanics), the black holes information
paradox, and the time wormholes grandfather paradox. All of the
above paradoxes have the same resolution based on the principles of
new cybernetics. Indeed, even a small interaction of an observer
with an observed system results in their time arrows' alignment
(synchronization) and results in the paradox resolution and
appearance of the universal time arrow.
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