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Probability, Geometry and Integrable Systems (Hardcover, New): Mark Pinsky, Bjorn Birnir Probability, Geometry and Integrable Systems (Hardcover, New)
Mark Pinsky, Bjorn Birnir
R3,557 R2,484 Discovery Miles 24 840 Save R1,073 (30%) Ships in 12 - 17 working days

The three main themes of this book, probability theory, differential geometry, and the theory of integrable systems, reflect the broad range of mathematical interests of Henry McKean, to whom it is dedicated. Written by experts in probability, geometry, integrable systems, turbulence, and percolation, the seventeen papers included here demonstrate a wide variety of techniques that have been developed to solve various mathematical problems in these areas. The topics are often combined in an unusual and interesting fashion to give solutions outside of the standard methods. The papers contain some exciting results and offer a guide to the contemporary literature on these subjects.

Probability, Geometry and Integrable Systems (Paperback): Mark Pinsky, Bjorn Birnir Probability, Geometry and Integrable Systems (Paperback)
Mark Pinsky, Bjorn Birnir
R1,261 Discovery Miles 12 610 Ships in 12 - 17 working days

The three main themes of this book, probability theory, differential geometry, and the theory of integrable systems, reflect the broad range of mathematical interests of Henry McKean, to whom it is dedicated. Written by experts in probability, geometry, integrable systems, turbulence, and percolation, the seventeen papers included here demonstrate a wide variety of techniques that have been developed to solve various mathematical problems in these areas. The topics are often combined in an unusual and interesting fashion to give solutions outside of the standard methods. The papers contain some exciting results and offer a guide to the contemporary literature on these subjects.

The Kolmogorov-Obukhov Theory of Turbulence - A Mathematical Theory of Turbulence (Paperback, 2013 ed.): Bjorn Birnir The Kolmogorov-Obukhov Theory of Turbulence - A Mathematical Theory of Turbulence (Paperback, 2013 ed.)
Bjorn Birnir
R1,762 Discovery Miles 17 620 Ships in 10 - 15 working days

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 Navier-Stokes equations describes turbulent flow has been an open problem. The Kolmogorov-Obukhov Theory of Turbulence develops a statistical theory of turbulence from the stochastic Navier-Stokes 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 Navier-Stokes equation. The statistical theory of the stochastic Navier-Stokes equation is developed in a pedagogical manner and shown to imply the Kolmogorov-Obukhov 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 Navier-Stokes simulations and lead to a major jump in the technology both preventing and utilizing turbulence.

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