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Author Majda, Andrew, 1949-

Title Vorticity and incompressible flow / Andrew J. Majda, Andrea L. Bertozzi
Published Cambridge ; New York : Cambridge University Press, 2002
Online access available from:
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Description 1 online resource (xii, 545 pages) : illustrations
Series Cambridge texts in applied mathematics
Cambridge texts in applied mathematics.
Contents Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; 1 An Introduction to Vortex Dynamics for Incompressible Fluid Flows; 2 The Vorticity-Stream Formulation of the Euler and the Navier-Stokes Equations; 3 Energy Methods for the Euler and the Navier ... Stokes Equations; 4 The Particle-Trajectory Method for Existence and Uniqueness of Solutions to the Euler Equation; 5 The Search for Singular Solutions to the 3-D Euler Equations; 6 Computational Vortex Methods; 7 Simplified Asymptotic Equations for Slender Vortex Filaments
8 Weak Solutions to the 2D Euler Equations with Initial Vorticity in L9 Introduction to Vortex Sheets, Weak Solutions, and Approximate-Solution Sequences for the Euler Equation; 10 Weak Solutions and Solution Sequences in Two Dimensions; 11 The 2D Euler Equation: Concentrations and Weak Solutions with Vortex-Sheet Initial Data; 12 Reduced Hausdorff Dimension, Oscillations, and Measure-Valued Solutions of the Euler Equations in Two and Three Dimensions; 13 The Vlasov ... Poi
Summary This 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
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Non-Newtonian fluids.
Form Electronic book
Author Bertozzi, Andrea L.
LC no. 00046776
ISBN 0511019173 (electronic bk.)
051105095X (electronic bk.)
9780511019173 (electronic bk.)
9780511050954 (electronic bk.)