Physics – Fluid Dynamics
Scientific paper
Feb 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...350..597a&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 350, Feb. 20, 1990, p. 597-602.
Physics
Fluid Dynamics
1
Euler Equations Of Motion, Fluid Dynamics, Galactic Rotation, Gravitation, Superposition (Mathematics), Angular Momentum, Poisson Equation, Star Distribution
Scientific paper
An analytic procedure for nonlinearly superposing axisymmetric, stationary, self-gravitating solutions to Euler's equation or the Jeans equations to generate new and more general classes of solutions is presented. Two examples of the method are given. The first uses a nonlinear superposition of two Maclaurin spheroids to produce a large family of self-gravitating toroidal solutions of Euler's equation. The second example examines some possible consequences of the nonlinear superposition on galactic mass modeling studies based on the Jeans equations. It is shown that (1) regions of reduced stellar density may lead to local angular momentum enhancement and (2) a flat composite rotation velocity profile may be nonlinearly constructed from two or more mass components with decreasing rotation curves.
Amendt Peter
Lanza Antonio
No associations
LandOfFree
Nonlinear superposition of solutions to self-gravitating fluid equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonlinear superposition of solutions to self-gravitating fluid equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear superposition of solutions to self-gravitating fluid equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-1841486