Stationary waves on the sphere

Slawomir Bialecki, Bogdan Kazmierczak, Je-Chiang Tsai

研究成果: 雜誌貢獻文章

3 引文 斯高帕斯(Scopus)

摘要

In this paper, we investigate stationary waves on the sphere using the bistable reaction-diffusion system. The motivation of this study arises from the study of activation waves of B cells in immune systems. We analytically establish (i) the existence and uniqueness of stationary waves; (ii) the limiting wave profile for small diffusivity of diffusing species; and (iii) the stability of the constructed stationary waves. The stability result may suggest the critical role of stationary waves in the determination of initial data for initiating propagating waves on the sphere, which is consistent with the numerical results for the B-cell activation model.

原文英語
頁(從 - 到)1761-1788
頁數28
期刊SIAM Journal on Applied Mathematics
75
發行號4
DOIs
出版狀態已發佈 - 2015 一月 1

ASJC Scopus subject areas

  • Applied Mathematics

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