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Vorticity and Incompressible Flow.
~
Majda, Andrew J.
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Vorticity and Incompressible Flow.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Vorticity and Incompressible Flow./
作者:
Majda, Andrew J.
其他作者:
Bertozzi, Andrea L.
出版者:
Cambridge :Cambridge University Press, : 2001.,
面頁冊數:
559 p.
內容註:
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
內容註:
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
標題:
Vortex-motion. -
電子資源:
http://dx.doi.org/10.1017/CBO9780511613203Click here to view book
ISBN:
9780511613203 (electronic bk.)
Vorticity and Incompressible Flow.
Majda, Andrew J.
Vorticity and Incompressible Flow.
[electronic resource]. - Cambridge :Cambridge University Press,2001. - 559 p.
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
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.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511613203 (electronic bk.)Subjects--Topical Terms:
658448
Vortex-motion.
Index Terms--Genre/Form:
542853
Electronic books.
LC Class. No.: QA925 .M35 2002eb
Dewey Class. No.: 532.0510151
Vorticity and Incompressible Flow.
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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
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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
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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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http://dx.doi.org/10.1017/CBO9780511613203
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