Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions
Publication
, Journal Article
Huang, Y; Witelski, TP; Bertozzi, AL
Published in: Applied Mathematics Letters
December 1, 2012
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.
Duke Scholars
Published In
Applied Mathematics Letters
DOI
ISSN
0893-9659
Publication Date
December 1, 2012
Volume
25
Issue
12
Start / End Page
2317 / 2321
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Huang, Y., Witelski, T. P., & Bertozzi, A. L. (2012). Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions. Applied Mathematics Letters, 25(12), 2317–2321. https://doi.org/10.1016/j.aml.2012.06.023
Huang, Y., T. P. Witelski, and A. L. Bertozzi. “Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions.” Applied Mathematics Letters 25, no. 12 (December 1, 2012): 2317–21. https://doi.org/10.1016/j.aml.2012.06.023.
Huang Y, Witelski TP, Bertozzi AL. Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions. Applied Mathematics Letters. 2012 Dec 1;25(12):2317–21.
Huang, Y., et al. “Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions.” Applied Mathematics Letters, vol. 25, no. 12, Dec. 2012, pp. 2317–21. Scopus, doi:10.1016/j.aml.2012.06.023.
Huang Y, Witelski TP, Bertozzi AL. Anomalous exponents of self-similar blow-up solutions to an aggregation equation in odd dimensions. Applied Mathematics Letters. 2012 Dec 1;25(12):2317–2321.
Published In
Applied Mathematics Letters
DOI
ISSN
0893-9659
Publication Date
December 1, 2012
Volume
25
Issue
12
Start / End Page
2317 / 2321
Related Subject Headings
- Applied Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics