Vorticity and incompressible flow / Andrew J. Majda, Andrea L. Bertozzi.

By: Majda, Andrew, 1949-
Contributor(s): Bertozzi, Andrea L
Material type: TextTextSeries: Cambridge texts in applied mathematics: Publisher: Cambridge ; New York : Cambridge University Press, 2002Description: 1 online resource (xii, 545 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 0511019173; 9780511019173; 051115562X; 9780511155628; 9780511613203; 0511613202; 9780511050954; 051105095X; 9781280420245; 1280420243Subject(s): Vortex-motion | Non-Newtonian fluids | Tourbillons (Mécanique des fluides) | Fluides non newtoniens | SCIENCE -- Waves & Wave Mechanics | Non-Newtonian fluids | Vortex-motion | Inkompressible Strömung | Wirbelströmung | Wirbel Physik | Tourbillons (mécanique des fluides) | Fluides non newtoniens | Euler, équations d'Genre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Vorticity and incompressible flow.DDC classification: 532/.059 LOC classification: QA925 | .M35 2002ebOther classification: UF 4300 | PHY 229f | PHY 225f Online resources: Click here to access online
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.
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Includes bibliographical references and index.

Print version record.

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.

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.

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