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1.

図書
図書
1. Problems of stellar convection : proceedings of the Colloquium nr. 38 of the Internat. Astronom. Union, held in Nice, August 16-20, 1976 (: Berlin ; : New York)
ed. by E.A. Spiegel and J.P. Zahn
出版情報: Berlin ; Heidelberg ; New York : Springer, 1977  vii, 363 p. ; 25 cm
シリーズ名: Lecture notes in physics ; v. 71
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2.

図書
図書
2. Chaos in astrophysics
edited by J.R. Buchler, J.M. Perdang, and E.A. Spiegel
出版情報: Dordrecht ; Boston : D. Reidel , Hingham, Mass. : Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, c1985  xvi, 326 p. ; 25 cm
シリーズ名: NATO ASI series ; ser. C . Mathematical and physical sciences ; v. 161
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3.

図書
図書
3. The theory of turbulence : Subrahmanyan Chandrasekhar's 1954 lectures
Edward A. Spiegel, editor
出版情報: Dordrecht ; Heidelberg : Springer, c2011  xiii, 117 p. ; 24 cm
シリーズ名: Lecture notes in physics ; 810
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目次情報: 続きを見る
Prologue
The Turbulence Problem / 1：
The Meaning of 'Turbulence' / 1.1：
Two Fundamental Aspects of Turbulence / 1.2：
The Net Energy Balance / 2：
Interchange of Energy Between States of Motion / 3：
Some Remarks / 4：
On the Harmonic Analysis / 4.1：
On the Concept of Isotropy / 4.2：
On the Possiblity of a Universal Theory / 4.3：
The Spectrum of Turbulent Energy / 5：
The Spectrum / 5.1：
An Equation for the Spectrum / 5.2：
Some Preliminaries to the Development of a Theory of Turbulence / 6：
Heisenberg's Theory of Turbulence / 7：
The Fundamental Equation of the Theory / 7.1：
Chandrasekhar's Solution of (7.17) for the Case of Stationary Turbulence / 7.2：
Fermi's Approach / 8：
Kolmogorov's Theory / 8.2：
The Method of von Neumann / 8.3：
Conclusion / 8.4：
An Alternate Approach: Correlations / 9：
The Equations of Isotropic Turbulence / 10：
The Concept of Isotropy / 10.1：
Two More Examples / 10.2：
Solenoidal Isotropic Tensors / 10.3：
Further Manipulations / 10.3.1：
The Karman-Howarth Equations / 10.3.3：
The Meanings of the Defining Scalars / 12：
Some Results from the Karman-Howarth Equation / 13：
The Taylor Microscale / 13.1：
The Study of the Decay of Turbulence / 13.2：
The Connection Between the Karman-Howarth Equation and the Kolmogorov Theory / 13.3：
The Double Correlation / 13.3.1：
The Triple Correlation / 13.3.2：
The Relation Between the Fourth and Second Order Correlations When the Velocity Follows a Gaussian Distribution / 14：
Some Properties of the Gaussian Distribution / 14.1：
One-Dimensional Gaussian Distribution / 14.1.1：
n-Dimensional Gaussian Function / 14.1.2：
Two-Dimensional Gaussian Function / 14.1.3：
Addition Theorem for Gaussian Distributions / 14.2：
Proof of (14.2) / 14.3：
Chandrasekhar's Theory of Turbulence / 15：
A More Subjective Approach to the Derivation of Chandrasekhar's Equation / 16：
The Dimensionless Form of Chandrasekhar's Equation / 17：
Some Aspects and Advantages of the New Theory / 18：
A Mathematical Justification of the Assumptions of the Heisenberg Theory / 18.1：
Compatibility with the Kolmogorov Theory / 18.2：
The Problem of Introducing the Boundary Conditions / 19：
Discussion of the Case of Negligible Inertial Term / 20：
The Case in Which Viscosity Is Neglected / 21：
Solution of the Non-Viscous Case Near r = 0 / 22：
Solution of the Heat Equation / 23：
Solution of the Quasi-Wave Equation / 24：
The Introduction of Boundary Conditions / 25：
Epilogue
Prologue
The Turbulence Problem / 1：
The Meaning of 'Turbulence' / 1.1：
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