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Date : 1996-12-28
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Scaling Selfsimilarity and Intermediate Asymptotics ~ Barenblatts book Scaling self similarity and intermediate asymptotics addresses the understanding of physical processes and the interpretation of calculations revealing these processes two mental problems intertwined closely with the deeper more general issues raised by the recognition of patterns
Scaling Selfsimilarity and Intermediate Asymptotics ~ Important examples of scaling phenomena for which the dimensional analysis is insufficient selfsimilarities of the second kind are presented and discussed A close connection of intermediate asymptotics and selfsimilarities of the second kind with a fundamental concept of theoretical physics the renormalization group is explained and discussed
Dimensional Analysis ~ Barenblatts book Scaling self similarity and intermediate asymptotics addresses the understanding of physical processes and the interpretation of calculations revealing these processes two mental problems intertwined closely with the deeper more general issues raised by the recognition of patterns
Customer reviews Scaling Selfsimilarity ~ Barenblatts book Scaling self similarity and intermediate asymptotics addresses the understanding of physical processes and the interpretation of calculations revealing these processes two mental problems intertwined closely with the deeper more general issues raised by the recognition of patterns
Scaling selfsimilarity and intermediate asymptotics ~ 12 Dimensional Analysis 39 13 Similarity 52 2 The construction of intermediateasymptotic solutions using dimensional analysis Selfsimilar solutions 64 21 Heat propagation from a concentrated instantaneous source 64 22 Phenomena at the initial stage of a nuclear explosion 76 23 Selfsimilarity Intermediate asymptotics 86
Scaling selfsimilarity and intermediate asymptotics ~ Scaling selfsimilarity and intermediate asymptotics dimensional analysis and intermediate asymptotics
Scaling SelfSimilarity and Intermediate Asymptotics ~ Beginning from a nontraditional exposition of dimensional analysis this text uses classical examples to demonstrate that the onset of scaling is not until the influence of initial andor boundary conditions has disappeared but when the system is still far from equilibrium
Scaling Selfsimilarity and Intermediate Asymptotics ~ Scaling powertype laws reveal the fundamental property of the phenomenaself similarity Selfsimilar scaling phenomena repeat themselves in time andor space The property of selfsimilarity simplifies substantially the mathematical modeling of phenomena and its analysisexperimental analytical and computational
Scaling selfsimilarity and intermediate asymptotics in ~ 1 Dimensions dimensional analysis and similarity2 The application of dimensional analysis to the construction of intermediate asymptotic solutions to problems of mathematical physics Selfsimilar solutions3 Selfsimilarities of the second kind first examples4 Selfsimilarities of the second kind further examples5
SELFSIMILAR SOLUTIONS AS INTERMEDIATE ASYMPTOTICS 8026 ~ Moreover in some cases dimensional analysis is inadequate to establish the selfsimilarity of an intermediate asymptotics since this selfsimilarity is sometimes related to the invarlance of the statement of the corresponding degenerate problem with respect to a wider group of transformations than the group of similarity transformations of quantities with independent dimensions
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