Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model
學年 101
學期 1
出版（發表）日期 2012-10-01
作品名稱 Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model
作品名稱（其他語言）
著者 Chen, Yan-Yu; Guo, Jong-Shenq; Hirokazu Ninomiya
單位 淡江大學數學學系
出版者 Amsterdam: Elsevier BV * North-Holland
著錄名稱、卷期、頁數 Physica D: Nonlinear Phenomena 241(20), pp.1758-1766
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.
關鍵字
語言 en_US
ISSN 0167-2789
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度 是
國別 NLD
公開徵稿
出版型式 紙本
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