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Similarity, Self-Similarity, and Intermediate Asymptotics
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Author(s):
G. I. Barenblatt
Publication date
(Print):
1979
Publisher:
Springer US
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Journal of Self-Assembly and Molecular Electronics
Author and book information
Book
ISBN (Print):
978-1-4615-8572-5
ISBN (Electronic):
978-1-4615-8570-1
Publication date (Print):
1979
DOI:
10.1007/978-1-4615-8570-1
SO-VID:
07d5aabb-6f45-4f43-9325-d94cdf8a450d
License:
http://www.springer.com/tdm
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Book chapters
pp. 1
Introduction
pp. 13
Dimensional Analysis and Similarity
pp. 31
The Application of Dimensional Analysis to the Construction of Exact Special Solutions to Problems of Mathematical Physics. Self-Similar Solutions
pp. 47
Modified Problem of an Instantaneous Heat Source: Self-Similar Solution of the Second Kind
pp. 63
The Problem of a Strong Explosion with Energy Loss or Deposition at the Front of the Shock Wave and the Problem of an Impulsive Load: Self-Similar Solutions of the Second Kind
pp. 87
Classification of Self-Similar Solutions
pp. 101
Self-Similar Solutions and Progressive Waves
pp. 115
Self-Similarity and Transformation Groups
pp. 127
The Spectrum of Exponents in Self-Similar Variables
pp. 133
Stability of Self-Similar Solutions
pp. 145
Self-Similar Intermediate Asymptotics of Some Linear Problems in the Theory of Elasticity and the Hydrodynamics of Ideal Fluids
pp. 161
Self-Similarities of the First and Second Kind in the Theory of Turbulence. Homogeneous Isotropic Turbulence
pp. 181
Self-Similarities of the First and Second Kind in the Theory of Turbulence. Shear Flow
pp. 205
Epilogue
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