Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model

機構典藏 > College of Sciences > Graduate Institute & Department of Mathematics > Journal Article > Item 987654321/83473

Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/83473

Title:	Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model
Authors:	Chen, Yan-Yu;Guo, Jong-Shenq;Hirokazu Ninomiya
Contributors:	淡江大學數學學系
Date:	2012-10
Issue Date:	2013-03-19 21:12:51 (UTC+8)
Publisher:	Amsterdam: Elsevier BV * North-Holland
Abstract:	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.
Relation:	Physica D: Nonlinear Phenomena 241(20), pp.1758-1766
DOI:	10.1016/j.physd.2012.08.004
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

Files in This Item:

File	Size	Format
Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model.pdf	394Kb	Adobe PDF	1	View/Open
index.html	0Kb	HTML	224	View/Open
index.html	0Kb	HTML	54	View/Open