Scaling, Self-similarity, and Intermediate Asymptotics Dimensional Analysis and Intermediate Asymptotics
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Foreword
- Introduction
- 1 Dimensions, dimensional analysis and similarity
- 2 The construction of intermediate-asymptotic solutions using dimensional analysis. Self-similar solutions
- 3 Self-similarities of the second kind: first examples
- 4 Self-similarities of the second kind: further examples
- 5 Classification of similarity rules and self-similar solutions. A recipe for the application of similarity analysis
- 6 Scaling and transformation groups. Renormalization group
- 7 Self-similar solutions and travelling waves
- 8 Invariant solutions: asymptotic conservation laws, spectrum of eigenvalues, and stability
- 9 Scaling in the deformation and fracture of solids
- 10 Scaling in turbulence
- 11 Scaling in geophysical fluid dynamics
- 12 Scaling: miscellaneous special problems
- Afterword
- References
- Index
4 - Self-similarities of the second kind: further examples
Published online by Cambridge University Press: 18 December 2014
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Foreword
- Introduction
- 1 Dimensions, dimensional analysis and similarity
- 2 The construction of intermediate-asymptotic solutions using dimensional analysis. Self-similar solutions
- 3 Self-similarities of the second kind: first examples
- 4 Self-similarities of the second kind: further examples
- 5 Classification of similarity rules and self-similar solutions. A recipe for the application of similarity analysis
- 6 Scaling and transformation groups. Renormalization group
- 7 Self-similar solutions and travelling waves
- 8 Invariant solutions: asymptotic conservation laws, spectrum of eigenvalues, and stability
- 9 Scaling in the deformation and fracture of solids
- 10 Scaling in turbulence
- 11 Scaling in geophysical fluid dynamics
- 12 Scaling: miscellaneous special problems
- Afterword
- References
- Index
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- Scaling, Self-similarity, and Intermediate AsymptoticsDimensional Analysis and Intermediate Asymptotics, pp. 119 - 144Publisher: Cambridge University PressPrint publication year: 1996