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Vorticity and Incompressible Flow

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ISBN-10: 0521639484

ISBN-13: 9780521639484

Edition: 2001

Authors: Andrew J. Majda, Andrea L. Bertozzi, M. J. Ablowitz, S. H. Davis, E. J. Hinch

List price: $99.00
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This text is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to developing research topics.
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Book details

List price: $99.00
Copyright year: 2001
Publisher: Cambridge University Press
Publication date: 11/26/2001
Binding: Paperback
Pages: 560
Size: 6.85" wide x 9.72" long x 1.06" tall
Weight: 2.046
Language: English

An introduction to vortex dynamics for incompressible fluid flows
The vorticity-stream formulation of the Euler and the Navier-Stokes equations
Energy methods for the Euler and the Navier-Stokes equations
The particle-trajectory method for existence and uniqueness of solutions to the Euler equation
The search for singular solutions to the 3D Euler equations
Computational vortex methods
Simplified asympototic equations for slender vortex filaments
Weak solutions to the 2D Euler equations with initial vorticity in L��
Introduction to vortex sheets, weak solutions and approximate-solution sequences for the Euler equation
Weak solutions and solution sequences in two dimensions
The 2D Euler equation: concentrations and weak solutions with vortex-sheet initial data
Reduced Hausdorff dimension, oscillations and measure-valued solutions of the Euler equations in two and three dimensions
The Vlasov-Poisson equations as an analogy to the Euler equations for the study of weak solutions