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THE NON-RELATIVISTIC LIMIT OF THE EULER–NORDSTRÖM SYSTEM WITH COSMOLOGICAL CONSTANT

JARED SPECK

Department of Mathematics, Rutgers University, Hill Center, 110, Frelinghuysen Road, Piscataway, NJ 08854, USA

https://doi.org/10.1142/S0129055X09003748Cited by:8 (Source: Crossref)

Abstract

In this paper, we study the singular limit c → ∞ of the family of Euler–Nordström systems indexed by the parameters κ² and c, where κ² > 0 is the cosmological constant and c is the speed of light. Using Christodoulou's techniques to generate energy currents, we develop Sobolev estimates that show initial data belonging to an appropriate Sobolev space launch unique solutions to the system that converge to corresponding unique solutions of the Euler–Poisson system with the cosmological constant κ² as c tends to infinity.

This article was finalized while the author was a postdoctoral researcher in the Princeton University Math. Department.

Keywords:

AMSC: 35L80, 35M99, 83C55, 83D05

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