The structure of solutions for equations related to the motions of plane curves-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

The structure of solutions for equations related to the motions of plane curves

Published:2004-04 Issue:4 Volume:45 Page:585-592
ISSN:1446-1811
Container-title:The ANZIAM Journal
language:en
Short-container-title:ANZIAM J.

Author:

Guo Jong-Shenq,Lo Chu-Pin,Tsai Je-Chiang

Abstract

AbstractWe study the structure of solutions of an initial value problem arising in the study of steadily rotating spiral waves in the kinematic theory of excitable media. In particular, we prove that under certain conditions there is a unique global positive monotone increasing solution.

Publisher

Cambridge University Press (CUP)

Subject

Mathematics (miscellaneous)

Reference5 articles.

1. Spiral solutions for a weakly anisotropic curvature flow equation;Giga;Adv. Math. Sci. Appl.,2002

2. On the structure of steady solutions for the kinematic model of spiral waves in excitable media

3. Pattern formation in excitable media;Meron;Phys. Reports (Review Section of Phys. Lett.),1992

4. Exact solutions for the kinematic model of autowaves in two-dimensional excitable media

5. Complex dynamics of spiral waves and motion of curves

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the steadily rotating spirals;Japan Journal of Industrial and Applied Mathematics;2006-02

2. Classification of steady solutions of the full kinematic model;Physica D: Nonlinear Phenomena;2004-11

3. Multiplicity of rotating spirals under curvature flows with normal tip motion;Journal of Differential Equations;2004-10

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP