ANZIAM  J.  45 (2004), 585-592

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

Jong-Shenq Guo   Department of Mathematics   National Taiwan Normal University   88, S-4 Ting Chou Road   Taipei 117   Taiwan   Chu-Pin Lo   Department of Finance and Taxation   Dahan Institute of Technology   1, Sujen Street   Dahan, Sincheng, Hualian 971   Taiwan   and Je-Chiang Tsai   Department of Mathematics   National Taiwan Normal University   88, S-4 Ting Chou Road   Taipei 117   Taiwan

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.

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