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The Kinematics of Vorticity
ISBN-13:
9780486835068
Veröffentl:
2018
Seiten:
256
Autor:
Clifford Truesdell
Serie:
Dover Books on Physics
eBook Typ:
EPUB
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:
"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 SocietyThis 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.
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
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