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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：

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