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Hassan Aref Stremler, Mark Andrew 2015-09-28T16:23:57Z 2015-09-28T16:23:57Z 10000-01-01 1998 1998 In each of the vortex systems investigated, the motion of a passive particle in the field of the vortices is, in general, chaotic. One means of characterizing the advected field is through Thurston-Nielsen theory from topology. Using only information about the motions of the vortices themselves and the fact that the advected fluid is a continuous field, Thurston-Nielsen theory establishes a lower bound on the stretching in the advected field. Some of the vortex motions investigated produce exponential stretching in the flow field. This stretching is as violent as any in turbulent flow, which suggests that the problem of point vortices in two-dimensional flow may lend itself to an understanding of some of the physics present in fully turbulent two-dimensional flows. Made available in DSpace on 2015-09-28T16:23:57Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9912389.pdf: 7143495 bytes, checksum: a0a9eecee4dbea3511f5b7ac9c8a60a5 (MD5) Previous issue date: 1998 Embargo set by: Seth Robbins for item 89052 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 145 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1998. http://hdl.handle.net/2142/87771 (MiAaPQ)AAI9912389 eng Physics, Fluid and Plasma Integrable Vortex Motions in Unbounded and Periodic Domains text Theoretical and Applied Mechanics Theoretical and Applied Mechanics University of Illinois at Urbana-Champaign Dissertation Ph.D.