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

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

doi:10.1017/S1446181100013584

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

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

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We 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.

Original language	English
Pages (from-to)	585-592
Number of pages	8
Journal	ANZIAM Journal
Volume	45
Issue number	4
DOIs	https://doi.org/10.1017/S1446181100013584
Publication status	Published - 2004 Apr

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1017/S1446181100013584

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title = "The structure of solutions for equations related to the motions of plane curves",

abstract = "We 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.",

author = "Guo, \{Jong Shenq\} and Lo Chu-Pin and Tsai, \{Je Chiang\}",

note = "Funding Information: This work was partially supported by the National Science Council of the Republic of China under the contract NSC 90-2115-M-OO3-OO9. We would like to thank the referee for some helpful comments on the presentation of this paper.",

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AU - Guo, Jong Shenq

AU - Chu-Pin, Lo

AU - Tsai, Je Chiang

N1 - Funding Information: This work was partially supported by the National Science Council of the Republic of China under the contract NSC 90-2115-M-OO3-OO9. We would like to thank the referee for some helpful comments on the presentation of this paper.

PY - 2004/4

Y1 - 2004/4

N2 - We 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.

AB - We 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.

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UR - https://www.scopus.com/pages/publications/4344651798#tab=citedBy

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DO - 10.1017/S1446181100013584

M3 - Article

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SP - 585

EP - 592

JO - ANZIAM Journal

JF - ANZIAM Journal

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

Abstract

ASJC Scopus subject areas

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