标度.自相似性和中间渐近

　　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.此书为英文版！

暂缺《标度.自相似性和中间渐近》作者简介

Preface
Foreword
0Introduction
0.1Dimensionalanalysisandphysicalsimilarity
0.2Assumptionsunderlyingdimensionalanalysis
0.3Self-similarphenomena
0.4Self-similarsolutionsasintermediateasymptotics.
Thesolutionsofthefirstandsecondkind.
Renormalizationgroup
0.5Self-similaritiesandtravellingwaves
1Dimensions,dimensionalanalysisandsimilarity
1.1Dimensions
1.2DimensionalAnalysis
1.3Similarity
2Theconstructionofintermediate-asymptoticsolutions
usingdimensionalanalysis.Self-similarsolutions
2.1Heatpropagationfromaconcentratedinstantaneoussource
2.2Phenomenaattheinitialstageofanuclearexplosion
2.3Self-similarity.Intermediateasymptotics
3Self-similaritiesofthesecondkind:firstexamples
3.1Flowofanidealfluidpastawedge
3.2Filtrationinanelasto-plasticporousmedium:themodified
instantaneousheatsourceproblem
4Self-similaritiesofthesecondkind:
furtherexamples
41Modifiedveryintenseexplosionproblem
4.2TheyonWeizsiicker-Zeldovichproblem:animpulsive
loading
5Classifcationofsimilarityrulesandself-similarity
solutions.Arecipefortheapplicationofsimilarity
analysis
5.1Completeandincompletesimilarity
6Scalingandtransformationgroups.Renormalization
group
6.1Dimensionalanalysisandtransformationgroups
6.2Therenormalisationgroupandincompletesimilarity
7Self-similarsolutionsandtravellingwaves
7.1Solutionsoftravelling-wavetype
7.2Burgersshockwave-steadytravellingwaveofthe
firstkind
7.3Flame:steadytravellingwaveofthesecondkind
7.4Nonlineareigenvalueproblem
7.5Flamepropagationinareactingmixture:anintermediate
asymptotics
8Invariantsolutions:asymptoticconservationlaws,
spectrumofeigenvalues,andstability
81Asymptoticconservationlaws
8.2Spectrumofeigenvalues
8.3Stabilityofinvariantsolutions
9Scalinginthedeformationandfractureofsolids
9.1Transitionfromself-similarityofthefirstkindto
self-similarityofthesecond;alinearelasticityproblem
9.2Similaritylawsforbrittleandquasi-brittlefracture
10Scalinginturbulence
10.1Homogeneousandisotropicturbulence
10.2Turbulentshearflows
11Scalingingeophysicalfluiddynamics
11.1Scalinglawsfortheatmosphericsurfacelayer
11.2Flowswithstronglystablestratification
11.3Theregimeoflimitingsaturationofaturbulentshearflow
ladenwithsediment
11.4Upperthermoclineintheocean-thetravellingthermal
wavemodel
11.5Stronginteractionofturbulencewithinternalwaves.
Deepeningoftheturbulentregion
11.6Thebreakingofinternalwavesandextensionof
mixed-fluidpatchesinastablystratifiedfluid
11.7Severalphenomenarelatedtoturbulenceinastably
stratifiedfluid
12Scaling:miscellaneousspecialproblems
12.1Mandelbrotfractalsandincompletesimilarity
12.2Example:scalingrelationshipbetweenthebreathingrateof
animalsandtheirmass.Fractalityofrespiratoryorgans
12.3Thespreadingofaground-watermound
Afterword
References
Index