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This book presents fundamental concepts and seminal results to the study of vortex filaments in equilibrium. It also presents new discoveries in quasi-2D vortex
Vorticity and Turbulence
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This book provides an introduction to the theory of turbulence in fluids based on the representation of the flow by means of its vorticity field. It has long be
The Mathematical Analysis of the Incompressible Euler and Navier-Stokes Equations
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The aim of this book is to provide beginning graduate students who completed the first two semesters of graduate-level analysis and PDE courses with a first exp
Vortex Dynamics
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Authors: P. G. Saffman
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Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. However, this volume focuses on those aspects of fluid
All Things Flow
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This is a graduate-level textbook for students in the natural sciences. After reviewing the necessary math, it describes the logical path from Newton's laws of