Scaling, self-similarity, and intermediate asymptotics

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Scaling, self-similarity, and intermediate asymptotics / Grigory Isaakovich Barenblatt

資料種別:: 図書
出版情報:: Cambridge ; New York : Cambridge University Press, 1996
形態:: xxii, 386 p. ; 23-24 cm
シリーズ名:: Cambridge texts in applied mathematics ; 14 <BA03474162>
著者名:: Barenblatt, G. I. <DA01760633>
ISBN:: 9780521435161 [0521435161] (: hbk)
9780521435222 [0521435226] (: pbk)
書誌ID:: BA29022880

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注記:

"Transferred to digital printing 2009" -- on t.p. verso
Includes bibliographical references (p. [366]-382) and index

主題:

Differential equations--Asymptotic theory; Dimensional analysis; Mathematical physics

言語:

英語

目次情報:

Preface

Introduction

Dimensions, dimensional analysis and similarity / 1：

The application of dimensional analysis to the construction of intermediate asymptotic solutions to problems of mathematical physics / 2：

Self-similar solutions

Self-similarities of the second kind: first examples / 3：

Self-similarities of the second kind: further examples / 4：

Classification of similarity rules and self-similarity solutions / 5：

Recipe for application of similarity analysis

Scaling and transformation groups. Renormalization groups / 6：

Self-similar solutions and travelling waves / 7：

Invariant solutions: special problems of the theory / 8：

Scaling in deformation and fracture in solids / 9：

Scaling in turbulence / 10：

Scaling in geophysical fluid dynamics / 11：

Scaling: miscellaneous special problems / 12：

The application of dimensional analysis to the construction of intermediate asymptotic solutions to problems of mathematical physics. Self-similar solutions

Scaling and transformation groups

Renormalization groups

Preface

Introduction

Dimensions, dimensional analysis and similarity / 1：

The application of dimensional analysis to the construction of intermediate asymptotic solutions to problems of mathematical physics / 2：

Self-similar solutions

Self-similarities of the second kind: first examples / 3：

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