# Selected Papers, Volume 4

## Plasma Physics, Hydrodynamic and Hydromagnetic Stability, and Applications of the Tensor-Virial Theorem

Chandrasekhar has selected papers that trace the development of his ideas and that present aspects of his work not fully covered in the books he has periodically published to summarize his research in each area.

Volume 4 has three parts. The first, on plasma physics, includes joint work with A. N. Kaufman and K. M. Watson on the stability of the pinch, as well as a paper on Chandrasekhar's own approach to the topic of adiabatic invariants. Part 2 includes work with specific scientific applications of hydrodynamic and hydromagnetic stability not covered in his monograph on the subject. The final part contains Chandrasekhar's papers on the scientific applications of the tensor-virial theorem, in which he restores to its proper place Riemann's neglected work with ellipsoidal figures.

*Part One - Plasma Physics*

1. Properties of an Ionized Gas of Low Density in a Magnetic Field, III. With A. N. Kaufman and K. M. Watson

*Annals of Physics*2, no. 5 (1957): 435-70

2. Properties of an Ionized Gas of Low Density in a Magnetic Field, IV. With A. N. Kaufman and K. M. Watson

*Annals of Physics*5, no. 1 (1958): 1-25

3. The Stability of the Pinch. With A. N. Kaufman and K. M. Watson

*Proceedings of the Royal Society*, A, 245 (1958): 435-55

4. Adiabatic Invariants in the Motions of Charged Particles

*The Plasma in a Magnetic Field: A Symposium Magnetohydrodynamics*, 3-22. Stanford University Press, 1958

*Part Two - Hydrodynamic and Hydromagnetic Stability*

5. The Stability of Viscous Flow Between Rotating Cylinders in the Presence of a Radial Temperature Gradient

*Journal of Rational Mechanics and Analysis*3, no. 2 (1954): 181-207

6. The Stability of Viscous Flow Between Rotating Cylinders, II.

With Donna D. Elbert

*Proceedings of the Royal Society*, A, 268 (1962): 145-52

7. The Character of the Equilibrium of an Incompressible Fluid Sphere of Variable Density and Viscosity Subject to Radial Acceleration

*Quarterly Journal of Mechanics and Applied Mathematics*8, pt. 1 (1955): 1-21

8. Thermal Convection (Rumford Medal Lecture)

*Proceedings of the American Academy of Arts and Sciences*86, no. 4 (1957): 323-39

9. The Thermodynamics of Thermal Instability in Liquids

*Max-Planck-Festschrift*1958, 103-14. Veb Deutscher Verlag der Wissenschaften, Berlin, 1959

10. Variational Methods in Hydrodynamics

*Proceedings of the Eighth Symposium in Applied Mathematics*, vol. 8 (1958): 139-41

11. On Characteristic Value Problems in High Order Differential Equations Which Arise in Studies on Hydrodynamic and Hydromagnetic Stability

*American Mathematical Monthly*61, no. 7 (1954): 32-45

12. Adjoint Differential Systems in the Theory of Hydrodynamic Stability

Journal of Mathematics and Mechanics 10, no. 5 (1961): 683-90

*Part Three - Tensor Virial Theorem and Its Applications*

13. The Virial Theorem in Hydromagnetics

*Journal of Mathematical Analysis and Applications*1, no. 2 (1960): 240-52

14. The Virial Equations of the Various Orders. (Chapter 1 in The Higher Order Virial Equations and Their Applications to the Equilibrium and Stability of Rotating Configurations)

*Lectures in Theoretical Physics*, vol. 6, 1-16. University of Colorado Press, 1964

15. A Theorem on Rotating Polytropes

*The Astrophysical Journal*134, no. 2 (1961): 662-64

16. On Super-potentials in the Theory of Newtonian Gravitation.

With Norman R. Lebovitz

*The Astrophysical Journal*135, no. 1 (1962): 238-47

17. On Superpotentials in the Theory of Newtonian Gravitation.

II, Tensors of Higher Rank. With Norman R. Lebovitz

*The Astrophysical Journal*136, no. 3 (1962): 1032-36

18. The Potentials and the Superpotentials of Homogeneous Ellipsoids. With Norman R. Lebovitz

*The Astrophysical Journal*136, no. 3 (1962): 1037-47

19. On the Oscillations and the Stability of Rotating Gaseous Masses. With Norman R. Lebovitz

*The Astrophysical Journal*135, no. 1 (1962): 248-60

20. On the Oscillations and the Stability of Rotating Gaseous Masses. II, The Homogenous, Compressible Model. With Norman R. Lebovitz

*The Astrophysical Journal*136, no. 3 (1962): 1069-81

21. On the Oscillations and the Stability of Rotating Gaseous Masses. III, The Distorted Polytropes. With Norman R. Lebovitz

*The Astrophysical Journal*136, no. 3 (1962): 1082-1104

22. On the Occurrence of Multiple Frequencies and Beats in the

*B*Canis Majoris Stars. With Norman R. Lebovitz

*The Astrophysical Journal*136, no. 3 (1962): 1105-7

23. Non-Radial Oscillations and Convective Instability of Gaseous Masses. With Norman R. Lebovitz

*The Astrophysical Journal*138, no. 1 (1963): 185-99

24. A General Variational Principle Governing the Radial and the Non-Radial Oscillations of Gaseous Masses

*The Astrophysical Journal*139, no. 2 (1964): 664-74

25. Non-Radial Oscillations of Gaseous Masses. With Norman R. Lebovitz

*The Astrophysical Journal*140, no. 4 (1964): 1517-28

26. The Pulsations and the Dynamical Stability of Gaseous Masses in Uniform Rotation. With Norman R. Lebovitz

*The Astrophysical Journal*152, no. 1 (1968): 267-91

27. The Ellipticity of a Slowly Rotating Configuration. With P. H. Roberts

*The Astrophysical Journal*138, no. 3 (1963): 801-8

28. The Points of Bifurcation Along the Maclaurin, the Jacobi, and the Jeans Sequences

*The Astrophysical Journal*137, no. 4 (1963): 1185-1202

29. The Equilibrium and the Stability of the Roche Ellipsoids

*The Astrophysical Journal*138, no. 4 (1963): 1182-1213

30. The Equilibrium and the Stability of the Riemann Ellipsoids

*The Astrophysical Journal*142, no. 3 (1965): 890-921

31. The Equilibrium and the Stability of the Riemann Ellipsoids, II

*The Astrophysical Journal*145, no. 3 (1966): 842-77

32. The Virial Equations of the Fourth Order

*The Astrophysical Journal*152, no. 1 (1968): 293-304

33. A Tensor Virial-Equation for Stellar Dynamics. With Edward P. Lee

*Monthly Notices of the Royal Astronomical Society*139, no. 2 (1968): 135-39

34. Some Elementary Applications of the Virial Theorem to Stellar Dynamics. With Donna D. Elbert

*Monthly Notices of the Royal Astronomical Society*155, no. 4 (1971): 435-47

35. The Stability of a Rotating Liquid Drop

*Proceedings of the Royal Society*, A, 286 (1965): 1-26

**Physical Sciences: **
Astronomy and Astrophysics |
Physics and Astronomy |
Theoretical Physics

You may purchase this title at these fine bookstores. Outside the USA, see our international sales information.