Math @ Duke

Publications [#244225] of Thomas P. Witelski
search www.ams.org.Papers Published
 Huang, Y; Witelski, TP; Bertozzi, AL, Anomalous exponents of selfsimilar blowup solutions to an aggregation equation in odd dimensions,
Applied Mathematics Letters, vol. 25 no. 12
(2012),
pp. 23172321, ISSN 08939659 [doi]
(last updated on 2018/09/22)
Abstract: We calculate the scaling behavior of the secondkind selfsimilar blowup solution of an aggregation equation in odd dimensions. This solution describes the radially symmetric finitetime blowup phenomena and has been observed in numerical simulations of the dynamic problem. The nonlocal equation for the selfsimilar profile is transformed into a system of ODEs that is solved using a shooting method. The anomalous exponents are then retrieved from this transformed system. © 2012 Elsevier Ltd. All rights reserved.


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