The existence of Newtonian dust caustics
The existence of Newtonian dust caustics
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.
2891-2899
Swatton, D.J.R.
edb0e643-aee5-40c0-bd3d-170b7e1f084b
Clarke, C.J.S.
710ae030-aebe-49df-b475-c6b37d5dab47
1998
Swatton, D.J.R.
edb0e643-aee5-40c0-bd3d-170b7e1f084b
Clarke, C.J.S.
710ae030-aebe-49df-b475-c6b37d5dab47
Swatton, D.J.R. and Clarke, C.J.S.
(1998)
The existence of Newtonian dust caustics.
Classical and Quantum Gravity, 15 (9), .
(doi:10.1088/0264-9381/15/9/030).
Abstract
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.
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Published date: 1998
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Local EPrints ID: 29229
URI: http://eprints.soton.ac.uk/id/eprint/29229
ISSN: 0264-9381
PURE UUID: 31f48fe5-2a5f-4226-af45-56fb895007f7
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Date deposited: 12 Mar 2007
Last modified: 15 Mar 2024 07:29
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Author:
D.J.R. Swatton
Author:
C.J.S. Clarke
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