Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model
type: Item
instance of: scholarly article
title: Existence and uniqueness of rigidly rotating spiral waves by a wave front interaction model
zbMATH Open document ID: 1273.34051
author: Yan-Yu Chen
author: Jong-Shenq Guo
author: Hirokazu Ninomiya
published in: Physica D
publication date: 2012-12-28T00:00:00Z
review text: Many studies of wave patterns in excitable media have been conducted, with the spiral pattern being a typical one. Here, the authors investigate the spiral wave in an unbounded excitable medium, using a wave front interaction model, which consists of two systems of ordinary differential equations, describing the front wave and the back wave, respectively. The spiral wave is studied as a thick region and the global existence and uniqueness of the back wave is shown. The wave's asymptotic behavior at infinity is also investigated.
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92C20
zbMATH DE Number: 6118844
zbMATH Keywords: spiral waves
zbMATH Keywords: angular speed
zbMATH Keywords: wave front
zbMATH Keywords: wave back
reviewed by: Shlomo Carmi
MaRDI profile type: Publication
full work available at URL: j.physd.2012.08.004
OpenAlex ID: W2082980019
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DOI: 10.1016/J.PHYSD.2012.08.004
description: scientific article; zbMATH DE number 6118844