标度、自相似性和中间渐近
出版时间:
2000-06
版次:
1
ISBN:
9787506247252
定价:
68.00
装帧:
平装
开本:
24开
纸张:
胶版纸
页数:
386页
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ProfessorGrigoriiIsaakovichBarenblatthaswrittenanoutstandingbookthatcontainsanattempttoanswertheveryimportantquestionofhowtounderstandcomplexphysicalprocessesandhowtointerpretresultsobtainedbynumericalcalculations. Preface
Foreword
0Introduction
0.1Dimensionalanalysisandphysicalsimilarity
0.2Assumptionsunderlyingdimensionalanalysis
0.3Self-similarphenomena
0.4Self-similarsolutionsasintermediateasymptotice.Tthesolutionsofthefirstandsecondkind.Renormalizationgroup
0.5Self-similarandtravellingwaves
1Dimensions,dimensionalanalysisandsimilarity
1.1Dimensions
1.2DimensionalAnalysis
1.3Similarity
2Theconstructionofintermediate-asymptoticsolutionsusingdimensionalanalysis.Self-similarsolutions
2.1Heatpropagationfromaconcentratedinstantaneoussource
2.2Phenomenaattheinitialstageofanuclearexplosion
2.3Self-similarity.Intermediateasymptotics
3Self-similaritiesofthesecondkind:firstexamples
3.1Flowofanidealfluidpastawedge
3.2Filtrationinanelasto-plasticporousmedium:themodifiedinstantaneousheatsourceproblem
4Self-similaritiesofthesecondkind:furtherexamples
4.1Modifiedveryintenseexplosionproblem
4.2ThevonWeizsacker-Zeldovichproblem:animpulsiveloading
5Classifcationofsimilarityrulesandself-similaritysolutions.Arecipefortheapplicationofsimilarityanalysis
5.1Completeandincompletesimilarity
6Scalingandtransformationgroups.Renormalizationgroup
6.1Dimensionalanalysisandtransformationgroups
6.2Therenormalisationgroupandincompletesimilarity
7Self-similarsolutionsandtravellingwaves
8Invariantsolutions:asymptoticconservationlaws,spectrumofeigenvalues,andstability
9Scalinginthedeformationandfractureofsolids
10Scalinginturulence
11Saclingingeophysicalfluiddynamics
12Scaling:miscellaneousspecialproblems
Afterword
References
Index
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内容简介:
ProfessorGrigoriiIsaakovichBarenblatthaswrittenanoutstandingbookthatcontainsanattempttoanswertheveryimportantquestionofhowtounderstandcomplexphysicalprocessesandhowtointerpretresultsobtainedbynumericalcalculations.
-
目录:
Preface
Foreword
0Introduction
0.1Dimensionalanalysisandphysicalsimilarity
0.2Assumptionsunderlyingdimensionalanalysis
0.3Self-similarphenomena
0.4Self-similarsolutionsasintermediateasymptotice.Tthesolutionsofthefirstandsecondkind.Renormalizationgroup
0.5Self-similarandtravellingwaves
1Dimensions,dimensionalanalysisandsimilarity
1.1Dimensions
1.2DimensionalAnalysis
1.3Similarity
2Theconstructionofintermediate-asymptoticsolutionsusingdimensionalanalysis.Self-similarsolutions
2.1Heatpropagationfromaconcentratedinstantaneoussource
2.2Phenomenaattheinitialstageofanuclearexplosion
2.3Self-similarity.Intermediateasymptotics
3Self-similaritiesofthesecondkind:firstexamples
3.1Flowofanidealfluidpastawedge
3.2Filtrationinanelasto-plasticporousmedium:themodifiedinstantaneousheatsourceproblem
4Self-similaritiesofthesecondkind:furtherexamples
4.1Modifiedveryintenseexplosionproblem
4.2ThevonWeizsacker-Zeldovichproblem:animpulsiveloading
5Classifcationofsimilarityrulesandself-similaritysolutions.Arecipefortheapplicationofsimilarityanalysis
5.1Completeandincompletesimilarity
6Scalingandtransformationgroups.Renormalizationgroup
6.1Dimensionalanalysisandtransformationgroups
6.2Therenormalisationgroupandincompletesimilarity
7Self-similarsolutionsandtravellingwaves
8Invariantsolutions:asymptoticconservationlaws,spectrumofeigenvalues,andstability
9Scalinginthedeformationandfractureofsolids
10Scalinginturulence
11Saclingingeophysicalfluiddynamics
12Scaling:miscellaneousspecialproblems
Afterword
References
Index
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