标度、自相似性和中间渐进
2000-6
世界图书出版公司
G.I.Barenblatt
386
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Professor Grigorii Isaakovich Barenblatt has written an outstanding book that contains an attempt to answer the very important question of how to understand complex physical processes and how to interpret results obtained by numerical calculations.
PrefaceForeword0 Introduction 0.1 Dimensional analysis and physical similarity 0.2 Assumptions underlying dimensional analysis 0.3 Self-similar phenomena 0.4 Self-similar solutions as intermediate asymptotice.Tthe solutions of the first and second kind.Renormalization group 0.5 Self-similar and travelling waves1 Dimensions,dimensional analysis and similarity 1.1 Dimensions 1.2 Dimensional Analysis 1.3 Similarity2 The construction of intermediate-asymptotic solutions using dimensional analysis.Self-similar solutions 2.1 Heat propagation from a concentrated instantaneous source 2.2 Phenomena at the initial stage of a nuclear explosion 2.3 Self-similarity.Intermediate asymptotics3 Self-similarities of the second kind:first examples 3.1 Flow of an ideal fluid past a wedge 3.2 Filtration in an elasto-plastic porous medium:the modified instantaneous heat source problem4 Self-similarities of the second kind:further examples 4.1 Modified very intense explosion problem 4.2 The von Weizsacker-Zeldovich problem:an impulsive loading5 Classifcation of similarity rules and self-similarity solutions.Arecipe for the application of similarity analysis 5.1 Complete and incomplete similarity6 Scaling and transformation groups.Renormalization group 6.1 Dimensional analysis and transformation groups 6.2 The renormalisation group and incomplete similarity7 Self-similar solutions and travelling waves8 Invariant solutions:asymptotic conservation laws,spectrum of eigenvalues,and stability9 Scaling in the deformation and fracture of solids10 Scaling in turulence11 Sacling in geophysical fluid dynamics12 Scaling:miscellaneous special problemsAfterword ReferencesIndex
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PrefaceForeword0 Introduction0.1 Dimensional analysis and physical similarity0.2 Assumptions underlying dimensional analysis0.3 Self-similar phenomena0.4 Self-similar solutions as intermediate asymptotice.Tthe solutions of the first and second kind.Renormalization group0.5 Self-similar and travelling waves1 Dimensions,dimensional analysis and similarity1.1 Dimensions1.2 Dimensional Analysis1.3 Similarity2 The construction of intermediate-asymptotic solutions using dimensional analysis.Self-similar solutions2.1 Heat propagation from a concentrated instantaneous source2.2 Phenomena at the initial stage of a nuclear explosionPrefaceForeword0 Introduction0.1 Dimensional analysis and physical similarity0.2 Assumptions underlying dimensional analysis0.3 Self-similar phenomena0.4 Self-similar solutions as intermediate asymptotice.Tthe solutions of the first and second kind.Renormalization group0.5 Self-similar and travelling waves1 Dimensions,dimensional analysis and similarity1.1 Dimensions1.2 Dimensional Analysis1.3 Similarity2 The construction of intermediate-asymptotic solutions using dimensional analysis.Self-similar solutions2.1 Heat propagation from a concentrated instantaneous source2.2 Phenomena at the initial stage of a nuclear explosionPrefaceForeword0 Introduction0.1 Dimensional analysis and physical similarity0.2 Assumptions underlying dimensional analysis0.3 Self-similar phenomena0.4 Self-similar solutions as intermediate asymptotice.Tthe solutions of the first and second kind.Renormalization group0.5 Self-similar and travelling waves1 Dimensions,dimensional analysis and similarity1.1 Dimensions1.2 Dimensional Analysis1.3 Similarity2 The construction of intermediate-asymptotic solutions using dimensional analysis.Self-similar solutions2.1 Heat propagation from a concentrated instantaneous source2.2 Phenomena at the initial stage of a nuclear explosion
很好的一本书，对于工程研究很有启发性。只是内部纸张有点粗糙，感觉偏薄，看书的时候会很小心，生怕弄破