Scaling

ISBN: 9780521826570 出版年：2003 页码：188 Grigory Isaakovich Barenblatt Cambridge University Press

Preface Introduction 1. Dimensions, dimensional analysis and similarity 2. The application of dimensional analysis to the construction of intermediate asymptotic solutions to problems of mathematical physics. 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-similarity solutions. Recipe for application of similarity analysis 6. Scaling and transformation groups. Renormalization groups. 7. Self-similar solutions and travelling waves 8. Invariant solutions: special problems of the theory 9. Scaling in deformation and fracture in solids 10. Scaling in turbulence 11. Scaling in geophysical fluid dynamics 12. Scaling: miscellaneous special problems.