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Vorticity and Incompressible Flowby Andrew J. Majda; Andrea L. Bertozzi; D. G. Crighton
Cambridge University Press 2001; US$ 59.00This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprises a modern applied mathematics graduate course on the weak solution theory for incompressible flow. more...
IUTAM Symposium on Elementary Vortices and Coherent Structures: Significance in Turbulence Dynamicsby Shigeo Kida
Springer 2006; US$ 159.00Presents and discusses the advanced research works on elementary vortices and related problems at the IUTAM Symposium in Kyoto, Japan, 26-28 October 2004. This book covers topics such as vortex dynamics, coherent structures, chaotic advection and mixing, statistical properties of turbulence, rotating and stratified turbulence, and more. more...
Theory of Concentrated Vorticesby S.V. Alekseenko; P.A. Kuibin; V.L. Okulov
Springer 2007; US$ 209.00This book presents comprehensive and authoritative coverage of the wide field of concentrated vortices observed in nature and technique. The methods for research of their kinematics and dynamics are considered. Special attention is paid to the flows with helical symmetry. The authors have described models of vortex structures used for interpretation of experimental data which serve as a ground for development of theoretical and numerical approaches to vortex investigation. Achievements in the fields of stability analysis, waves on vortices and vortex breakdown are also presented. more...
Mathematical Geophysicsby Jean-Yves Chemin; Benoit Desjardins; Emmanuel Grenier
Oxford University Press, UK 2006; US$ 109.99Aimed at graduate students and researchers in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The Navier-Stokes equations are examined in both incompressible and rapidly rotating forms. - ;Aimed at graduate students, researchers and academics in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The text is divided into four parts, with the first part providing the physical background of the geophysical models to be analysed. Part II is devoted... more...
Vortex, Molecular Spin and Nanovorticityby Percival McCormack
Springer 2012; US$ 49.95The subject of this book is the physics of vortices. A detailed analysis of the dynamics of vortices will be presented. The important topics of vorticity and molecular spin will be dealt with, including the electromagnetic analogy and quantization in superfluids. The effect of molecular spin on the dynamics of molecular nano-confined fluids using the extended Navier-Stokes equations will also be covered -especially important to the theory and applicability of nanofluidics and associated devices. The nanoscale boundary layer and nanoscale vortex core are regions of intense vorticity (molecular spin). It will be shown, based on molecular kinetic theory and thermodynamics, that the macroscopic (solid body) rotation must be accompanied by internal... more...
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