The Non-relativistic Limit of the Euler Nordström System with Cosmological Constant

Details The Non-relativistic Limit of the Euler Nordström System with Cosmological Constant The Non-relativistic Limit of the Euler Nordström System with Cosmological Constant

2008-10-14

arxiv.org/abs/0810.2369v3

Rev.Math.Phys.21:821-876,2009

Physics

Mathematical Physics

Some minor typos were corrected. Page formatting changed to resemble that of the published version. 57 pages

Scientific paper

10.1142/S0129055X09003748

In this paper the author studies the singular limit c to infinity of the family of Euler-Nordstr\"om systems indexed by the parameters kappa and c (EN_kappa,c), where kappa^2 > 0 is the cosmological constant and c is the speed of light. Using Christodoulou's techniques to generate energy currents, the author develops Sobolev estimates that show that for initial data belonging to an appropriate Sobolev space, as c tends to infinity, the solutions to the EN_kappa,c system converge uniformly on a spacetime slab [0,T]xR^3 to the solution of the Euler-Poisson system with the cosmological constant kappa^2.

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