The Kinematics of Vorticity

"When all has been said, one important fact emerges: this book is a valuable compendium of results that every expert in hydrodynamics, gas dynamics, or dynamical meteorology will want to keep by … [their]side and refer to frequently." — Bulletin of the American Mathematical Society
This unique graduate-level monograph offers a heavily mathematical treatment of the vorticity of fluids. The subject's wealth of applications extends to many areas of physics and engineering, and the book will also appeal to mathematically oriented historians of science. Starting with consideration of geometrical and kinematical preliminaries, the text advances to examinations of vorticity, the vorticity field, vorticity measures, and vorticity averages. Subsequent chapters explore Bernoullian theorems, convection and diffusion of vorticity, and circulation-preserving motions.

Clifford Truesdell (1919–2000) was an American mathematician and historian of science. He taught at Indiana University and at Johns Hopkins University and was the author of seveal books on mathematics, scienctific subjects, and the history of science.

Contents

Preface
Introduction
Chapter I Geometrical Preliminaries (1-13 sections)
Chapter II Kinematical Preliminaries (14-28 sections)
Chapter III Vorticity (29-41 sections)
Chapter IV The Vorticity Field (42-52 sections)
Chapter V Vorticity Measures (53-62 sections)
Chapter VI Vorticity Averages (63-67 sections)
Chapter VII Bernoullian Theorems (68-77 sections)
Chapter VIII Convection and Diffusion of Vorticity (78-92 sections)
Chapter IX Circulation-preserving Motions (93-107 sections)
Index of Symbols
List of Works Quoted
Index of Authors Quoted
Index of Matters Treated