Astronomy and Astrophysics – Astrophysics
Scientific paper
2007-12-16
PhysicaD237:2145-2150,2008
Astronomy and Astrophysics
Astrophysics
6 pages, 2 figures; based on an invited lecture at the conference "Euler's Equations: 250 Years On" (see http://www.obs-nice.f
Scientific paper
10.1016/j.physd.2008.01.007
Motion of a continuous fluid can be decomposed into an "incompressible" rearrangement, which preserves the volume of each infinitesimal fluid element, and a gradient map that transfers fluid elements in a way unaffected by any pressure or elasticity (the polar decomposition of Y. Brenier). The Euler equation describes a system whose kinematics is dominated by the incompressible rearrangement. The opposite limit, in which the incompressible component is negligible, corresponds to the Zel'dovich approximation, a model of motion of self-gravitating fluid in cosmology. We present a method of approximate reconstruction of the large-scale proper motions of matter in the Universe from the present-day mass density field. The method is based on recovering the corresponding gradient transfer map. We discuss its algorithmics, tests of the method against mock cosmological catalogues, and its application to observational data, which result in tight constraints on the mean mass density Omega_m and age of the Universe.
Mohayaee Roya
Sobolevskii Andrei
No associations
LandOfFree
The Monge-Ampère-Kantorovich approach to reconstruction in cosmology 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 The Monge-Ampère-Kantorovich approach to reconstruction in cosmology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Monge-Ampère-Kantorovich approach to reconstruction in cosmology will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-446020