Ballistic aggregation in symmetric and non-symmetric flows

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dc.creatorAndrievskii, A.
dc.creatorGurbatov, S.
dc.creatorSobolevskii, A.
dc.date2006-01-04
dc.date2006-06-03
dc.date.accessioned2026-07-07T08:19:09Z
dc.date.available2026-07-07T08:19:09Z
dc.descriptionWe consider exact solutions to the problem of ballistic aggregation in a flow of adhesive particles, providing a model for large-scale structure formation in cosmology within the framework of the Zel'dovich approximation. Two different explicit variational constructions, suggested for this problem by (A. Shnirelman, 1986) and (E Weinan et al, 1996) in the case of flat symmetry, are shown to be equivalent. Explicit solutions are constructed for flows of cylindric and spherical symmetry. Two explicit counterexamples, showing that natural generalizations of both variational constructions fail to provide solutions for nonsymmetric multidimensional flows, are presented.
dc.description11 pages, 5 figures; this English text replaces the original Russian version (v1). Various misprints corrected, quality of figures improved
dc.identifierhttps://arxiv.org/abs/nlin/0601006
dc.identifierhttp://arxiv.org/abs/nlin/0601006
dc.identifierJ. Experimental and Theoretical Phys., 104:6 (2007) 887-896
dc.identifierdoi:10.1134/S1063776107060064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134670
dc.subjectPattern Formation and Solitons
dc.subjectAstrophysics
dc.subjectMathematical Physics
dc.titleBallistic aggregation in symmetric and non-symmetric flows
dc.typetext

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