Asymptotic behavior of a stratified perturbation in a three dimensional expanding Universe

Details Asymptotic behavior of a stratified perturbation in a three dimensional expanding Universe Asymptotic behavior of a stratified perturbation in a three dimensional expanding Universe

2002-03-25

arxiv.org/abs/astro-ph/0203435v1

Astron.Astrophys. 395 (2002) 399-408

Astronomy and Astrophysics

Astrophysics

Submitted to Astron. & Astrophys

Scientific paper

10.1051/0004-6361:20021197

The non-linear evolution of a stratified perturbation in a three dimensional expanding Universe is considered. A general Lagrangian scheme (Q model) is introduced and numerical investigations are performed. The asymptotic contraction of the core of the agglomeration is studied. A power-law scaling is detected and an heuristic interpretation of the numerical findings is provided. An asymptotic equation for the multi-stream velocity flow is derived and it is shown to agree quantitatively with the dynamics of the Q model. The relation to the adhesion model is discussed.

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