Description 
1 online resource (xii, 545 pages) : illustrations 
Series 
Cambridge texts in applied mathematics 

Cambridge texts in applied mathematics.

Contents 
Cover; Halftitle; Seriestitle; Title; Copyright; Contents; Preface; 1 An Introduction to Vortex Dynamics for Incompressible Fluid Flows; 2 The VorticityStream Formulation of the Euler and the NavierStokes Equations; 3 Energy Methods for the Euler and the Navier ... Stokes Equations; 4 The ParticleTrajectory Method for Existence and Uniqueness of Solutions to the Euler Equation; 5 The Search for Singular Solutions to the 3D 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 ApproximateSolution Sequences for the Euler Equation; 10 Weak Solutions and Solution Sequences in Two Dimensions; 11 The 2D Euler Equation: Concentrations and Weak Solutions with VortexSheet Initial Data; 12 Reduced Hausdorff Dimension, Oscillations, and MeasureValued 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 
NonNewtonian fluids.


Vortexmotion.

Form 
Electronic book

Author 
Bertozzi, Andrea L.

LC no. 
00046776 
ISBN 
0511019173 (electronic bk.) 

051105095X (electronic bk.) 

051115562X 

0511613202 

9780511019173 (electronic bk.) 

9780511050954 (electronic bk.) 

9780511155628 

9780511613203 
