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    題名: Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model
    作者: Chen, Yan-Yu;Guo, Jong-Shenq;Hirokazu Ninomiya
    貢獻者: 淡江大學數學學系
    日期: 2012-10
    上傳時間: 2013-03-19 21:12:51 (UTC+8)
    出版者: Amsterdam: Elsevier BV * North-Holland
    摘要: We study the spiral wave in an unbounded excitable medium from the wave front interaction model derived by Zykov in 2009. This model consists of two systems of ordinary differential equations that describe the wave front and the wave back, respectively. First, we derive some properties of the back by the shooting argument and the comparison principle. Next we show the global existence of the solution of the back. Then we study its asymptotic behavior at infinity. Finally, we prove the uniqueness of the solution.
    關聯: Physica D: Nonlinear Phenomena 241(20), pp.1758-1766
    DOI: 10.1016/j.physd.2012.08.004
    顯示於類別:[數學學系暨研究所] 期刊論文

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