# Selected Papers, Volume 4

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

- Contents

*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

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