A statistical derivation of the hydrodynamic equations of change for a system of ionized molecules. I. General equation of change and the Maxwell equations

1969 ◽  
Vol 1 (1) ◽  
pp. 163-174
Author(s):  
R. J. Beshinske ◽  
C. F. Curtiss
Keyword(s):  
General Equation ◽  
Maxwell Equations ◽  
Hydrodynamic Equations ◽  
Statistical Derivation

Statistical derivation of hydrodynamic equations of the Grad-type

1968 ◽  
Vol 27 (9) ◽  
pp. 615-616 ◽  
Author(s):  
T.N. Khazanovich ◽  
V.A. Savchenko
Keyword(s):  
Hydrodynamic Equations ◽  
Statistical Derivation ◽  
Grad Type

Statistical derivation of hydrodynamic equations of the grad type

1973 ◽  
Vol 14 (3) ◽  
pp. 288-296 ◽  
Author(s):  
V. A. Savchenko ◽  
T. N. Khazanovich
Keyword(s):  
Hydrodynamic Equations ◽  
Statistical Derivation ◽  
Grad Type

Charged spheres in general relativity

1969 ◽  
Vol 47 (18) ◽  
pp. 1989-1994 ◽  
Author(s):  
M. C. Faulkes
Keyword(s):  
General Relativity ◽  
Total Energy ◽  
General Equation ◽  
Maxwell Equations ◽  
Equilibrium Configuration ◽  
Rate Of Change ◽  
Spherically Symmetric ◽  
Charged Matter ◽  
Spherically Symmetric Distribution ◽  
Charged Spheres

The Einstein–Maxwell equations for a spherically symmetric distribution of charged matter are studied. A general equation is derived for the rate of change of the "total energy" of the sphere in terms of the 4–4 component of the electromagnetic and matter tensors. It is shown that, subject to certain conditions, the spheres of charged matter can oscillate, and further that the static configuration is uniquely given by the relation m2 = 4πe2α, where [Formula: see text]. Finally, it is demonstrated that the equilibrium configuration is unstable to small radial perturbations.

The elasto-hydrodynamic equations of the colloidal crystals

1988 ◽  
Vol 49 (7) ◽  
pp. 1119-1125 ◽  
Author(s):  
M. Jorand ◽  
E. Dubois-Violette ◽  
B. Pansu ◽  
F. Rothen
Keyword(s):  
Colloidal Crystals ◽  
Hydrodynamic Equations
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