The existence of Newtonian dust caustics

Swatton, D.J.R. and Clarke, C.J.S. (1998) The existence of Newtonian dust caustics. Classical and Quantum Gravity, 15, (9), 2891-2899. (doi:10.1088/0264-9381/15/9/030).


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We prove a rigorous existence theorem in the case of one-dimensional Newtonian gravity for a pressureless fluid, in which a caustic separates a single-fluid region from a region with three superimposed fluid flows. This is of interest both for the shell crossing singularities of general relativity and for models of galaxy formation.

Item Type: Article
Related URLs:
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29229
Date Deposited: 12 Mar 2007
Last Modified: 06 Aug 2015 02:29

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