The KolmogorovObukhov Theory of Turbulence : A Mathematical Theory of Turbulence
Turbulence is a major problem facing modern societies. It makes airline passengers return to their seats and fasten their seatbelts but it also creates drag on the aircraft that causes it to use more fuel and create more pollution. The same applies to cars, ships and the space shuttle. The mathemati...
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Format:  eBook 
Language:  English 
Published: 
New York, NY
Springer New York
2013, 2013

Edition:  1st ed. 2013 
Series:  SpringerBriefs in Mathematics

Subjects:  
Online Access:  
Collection:  Springer eBooks 2005  Collection details see MPG.ReNa 
Summary:  Turbulence is a major problem facing modern societies. It makes airline passengers return to their seats and fasten their seatbelts but it also creates drag on the aircraft that causes it to use more fuel and create more pollution. The same applies to cars, ships and the space shuttle. The mathematical theory of turbulence has been an unsolved problems for 500 years and the development of the statistical theory of the NavierStokes equations describes turbulent flow has been an open problem. The KolmogorovObukhov Theory of Turbulence develops a statistical theory of turbulence from the stochastic NavierStokes equation and the physical theory, that was proposed by Kolmogorov and Obukhov in 1941. The statistical theory of turbulence shows that the noise in developed turbulence is a general form which can be used to present a mathematical model for the stochastic NavierStokes equation. The statistical theory of the stochastic NavierStokes equation is developed in a pedagogical manner and shown to imply the KolmogorovObukhov statistical theory. This book looks at a new mathematical theory in turbulence which may lead to many new developments in vorticity and Lagrangian turbulence. But even more importantly it may produce a systematic way of improving direct NavierStokes simulations and lead to a major jump in the technology both preventing and utilizing turbulence 

Physical Description:  X, 108 p. 11 illus. in color online resource 
ISBN:  9781461462620 