Nonlinear stability of homogeneous models in Newtonian cosmology

Abstract

We consider the Vlasov-Poisson system in a cosmological setting and prove nonlinear stability of homogeneous solutions against small, spatially periodic perturbations in the sup-norm of the spatial mass density. This result is connected with the question of how large scale structures such as galaxies have evolved out of the homogeneous state of the early universe.

19 pages, latex

References in corpus (2)

• The Cosmic No-Hair Theorem and the Nonlinear Stability of Homogeneous Newtonian Cosmological Models
• Global existence of classical solutions to the Vlasov-Poisson system in a three dimensional, cosmological setting

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• Asymptotic behaviour of the Boltzmann equation as a cosmological model
• Optimal gradient estimates and asymptotic behaviour for the Vlasov-Poisson system with small initial data
• Existence and stability of Camm type steady states in galactic dynamics
• Stationary and static stellar dynamic models with axial symmetry