Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions
Journal Article (Journal Article)
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.
Full Text
Duke Authors
Cited Authors
- Huang, Y; Witelski, TP; Bertozzi, AL
Published Date
- December 1, 2012
Published In
Volume / Issue
- 25 / 12
Start / End Page
- 2317 - 2321
International Standard Serial Number (ISSN)
- 0893-9659
Digital Object Identifier (DOI)
- 10.1016/j.aml.2012.06.023
Citation Source
- Scopus