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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/89161


    Title: Existence of a rotating wave pattern in a disk for a wave front interaction model
    Authors: Guo, Jong-Shenq;Hirokazu Ninomiya;Wu, Chin-Chin
    Contributors: 淡江大學數學學系
    Date: 2013-03
    Issue Date: 2013-05-22 14:28:14 (UTC+8)
    Publisher: Springfield: American Institute of Mathematical Sciences
    Abstract: We study the rotating wave patterns in an excitable medium in a disk. This wave pattern is rotating along the given disk boundary with a constant angular speed. To study this pattern we use the wave front interaction model proposed by Zykov in 2007. This model is derived from the FitzHugh-Nagumo equation and it can be described by two systems of ordinary differential equations for wave front and wave back respectively. Using a delicate shooting argument with the help of the comparison principle, we derive the existence and uniqueness of rotating wave patterns for any admissible angular speed with convex front in a given disk.
    Relation: Communications on pure and applied analysis 12(2), pp.1049-1063
    DOI: 10.3934/cpaa.2013.12.1049
    Appears in Collections:[數學學系暨研究所] 期刊論文

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