Vorticity and incompressible flow

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

資料種別:

図書

出版情報:

Cambridge : Cambridge University Press, 2002

形態:

xii, 545 p. ; 26 cm

シリーズ名:

Cambridge texts in applied mathematics <BA03474162>

著者名:

ISBN:

9780521630573 [0521630576] (: hard)
9780521639484 [0521639484] (: pbk)

書誌ID:

BA54232320

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references and index

主題:

Non-Newtonian fluids; Vortex-motion

言語:

英語

目次情報:

Preface

An introduction to vortex dynamics for incompressible fluid flows / 1：

The vorticity-stream formulation of the Euler and the Navier-Stokes equations / 2：

Energy methods for the Euler and the Navier-Stokes equations / 3：

The particle-trajectory method for existence and uniqueness of solutions to the Euler equation / 4：

The search for singular solutions to the 3D Euler equations / 5：

Computational vortex methods / 6：

Simplified asympototic equations for slender vortex filaments / 7：

Weak solutions to the 2D Euler equations with initial vorticity in Lâê / 8：

Introduction to vortex sheets, weak solutions and approximate-solution sequences for the Euler equation / 9：

Weak solutions and solution sequences in two dimensions / 10：

The 2D Euler equation: concentrations and weak solutions with vortex-sheet initial data / 11：

Reduced Hausdorff dimension, oscillations and measure-valued solutions of the Euler equations in two and three dimensions / 12：

The Vlasov-Poisson equations as an analogy to the Euler equations for the study of weak solutions / 13：

Index

Preface

An introduction to vortex dynamics for incompressible fluid flows / 1：

The vorticity-stream formulation of the Euler and the Navier-Stokes equations / 2：

Energy methods for the Euler and the Navier-Stokes equations / 3：

The particle-trajectory method for existence and uniqueness of solutions to the Euler equation / 4：

The search for singular solutions to the 3D Euler equations / 5：

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