Detailed Information

Cited 0 time in webofscience Cited 0 time in scopus
Metadata Downloads

Pattern formation in reaction-diffusion systems on evolving surfaces

Authors
Kim, HyundongYun, AnaYoon, SunghaLee, ChaeyoungPark, JintaeKim, Junseok
Issue Date
1-11월-2020
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Keywords
Pattern formation; Laplace-Beltrami operator; Triangle surface mesh; Reaction-diffusion system; Evolving surface
Citation
COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.80, no.9, pp.2019 - 2028
Indexed
SCIE
SCOPUS
Journal Title
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume
80
Number
9
Start Page
2019
End Page
2028
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/51849
DOI
10.1016/j.camwa.2020.08.026
ISSN
0898-1221
Abstract
In this paper, we propose an explicit time-stepping scheme for the pattern formation in reaction-diffusion systems on evolving surfaces. The proposed numerical method is based on a simple discretization scheme of Laplace-Beltrami operator over triangulated surface. On the static and evolving domains, we perform various numerical experiments for effect of domain growth and pattern formations. The computational results demonstrate that our proposed method can simulate pattern formation in reaction-diffusion systems on evolving surfaces. The actual zebra skin pattern and computational results are compared. In the computational results, we can observe different pattern formations on the evolving surface with specific rotation speed. (C) 2020 Elsevier Ltd. All rights reserved.
Files in This Item
There are no files associated with this item.
Appears in
Collections
College of Science > Department of Mathematics > 1. Journal Articles

qrcode

Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.

Related Researcher

Researcher Kim, Jun seok photo

Kim, Jun seok
이과대학 (수학과)
Read more

Altmetrics

Total Views & Downloads

BROWSE