## 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.2012.06.023Huang, 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