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arXiv · 0810.2369

The Non-relativistic Limit of the Euler Nordstr\"om System with Cosmological Constant

Jared Speck
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Abstract

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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Jared Speck. 2008-10-14. The Non-relativistic Limit of the Euler Nordstr\"om System with Cosmological Constant. https://doi.org/10.1142/s0129055x09003748

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