Duke Applied Mathematics

Publications [#244225] of Thomas P. Witelski

Papers Published

1. Huang, Y; Witelski, TP; Bertozzi, AL, Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions, Applied Mathematics Letters, vol. 25 no. 12 (December, 2012), pp. 2317-2321, Elsevier BV, ISSN 0893-9659 [doi]
   (last updated on 2024/04/19)

   Abstract:
   We calculate the scaling behavior of the second-kind self-similar blow-up solution of an aggregation equation in odd dimensions. This solution describes the radially symmetric finite-time blowup phenomena and has been observed in numerical simulations of the dynamic problem. The nonlocal equation for the self-similar 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.