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

Published online by Cambridge University Press:  17 February 2009

Jong-Shenq Guo
Affiliation:
Department of Mathematics, National Taiwan Normal University, 88, S-4 Ting Chou Road, Taipei 117, Taiwan.
Chu-Pin Lo
Affiliation:
Department of Finance and Taxation, Dahan Institute of Technology, I, Sujen Street, Dahan, Sincheng, Hualian 971, Taiwan.
Je-Chiang Tsai
Affiliation:
Department of Mathematics, National Taiwan Normal University, 88, S-4 Ting Chou Road, Taipei 117, Taiwan.
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2004

References

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