Fission theory of binary stars. III. The formulation of the bifurcation problem
Journal Article
·
· Astrophys. J.; (United States)
A family of compressible Riemann ellipsoids is taken as the known, unperturbed solution of the equations governing secular evolution of an inviscid fluid mass. The problem of the evolution of figures that depart slightly from the ellipsoidal family is discussed in perturbation form, with special attention to the bifurcation of a nonellipsoidal family from a critical Riemann ellipsoid. The similarities to and differences from the classical fission theory of incompressible liquids are discussed, as are physical assumptions and mathematical techniques needed in treating the present problem.
- Research Organization:
- Univ. of Chicago, IL (United States)
- OSTI ID:
- 5124547
- Journal Information:
- Astrophys. J.; (United States), Vol. 275:1
- Country of Publication:
- United States
- Language:
- English
Similar Records
Fission theory of binary stars. IV. Exact solutions in Polynomial spaces
An organizing center for wave bifurcation in multiphase flow models
General class of nonlinear bifurcation problems from a point in the essential spectrum: application to shock wave solutions of kinetic equations
Journal Article
·
Sat Sep 01 00:00:00 EDT 1984
· Astrophys. J.; (United States)
·
OSTI ID:5124547
An organizing center for wave bifurcation in multiphase flow models
Journal Article
·
Wed Oct 01 00:00:00 EDT 1997
· SIAM Journal of Applied Mathematics
·
OSTI ID:5124547
General class of nonlinear bifurcation problems from a point in the essential spectrum: application to shock wave solutions of kinetic equations
Conference
·
Thu Jan 01 00:00:00 EST 1976
·
OSTI ID:5124547
Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BINARY STARS
STAR MODELS
DISTURBANCES
EQUATIONS OF STATE
HYDRODYNAMICS
RIEMANN SPACE
EQUATIONS
FLUID MECHANICS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
SPACE
STARS
640102* - Astrophysics & Cosmology- Stars & Quasi-Stellar
Radio & X-Ray Sources
GENERAL PHYSICS
BINARY STARS
STAR MODELS
DISTURBANCES
EQUATIONS OF STATE
HYDRODYNAMICS
RIEMANN SPACE
EQUATIONS
FLUID MECHANICS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MECHANICS
SPACE
STARS
640102* - Astrophysics & Cosmology- Stars & Quasi-Stellar
Radio & X-Ray Sources