NONLINEAR STABILITY OF HOMOGENEOUS MODELS IN NEWTONIAN COSMOLOGY

Authors
REIN G
Citation
G. Rein, NONLINEAR STABILITY OF HOMOGENEOUS MODELS IN NEWTONIAN COSMOLOGY, Archive for Rational Mechanics and Analysis, 140(4), 1997, pp. 335-351
Citations number
22
Journal title
Archive for Rational Mechanics and Analysis → ACNP
ISSN journal
00039527
Volume
140
Issue
4
Year of publication
1997
Pages
335 - 351
Database
ISI
SICI code
0003-9527(1997)140:4<335:NSOHMI>2.0.ZU;2-C
Abstract
We consider the Vlasov-Poisson system in a cosmological setting as stu died in [18] and prove nonlinear stability of homogeneous solutions ag ainst small, spatially periodic perturbations in the L-infinity-norm o f the spatial mass density. This result is connected with the question of how large scale structures such as galaxies have evolved out of th e homogeneous state of the early universe.