# American Institute of Mathematical Sciences

May  2012, 17(3): 933-942. doi: 10.3934/dcdsb.2012.17.933

## Spiral rotating waves of a geodesic curvature flow on the unit sphere

 1 Department of Mathematics, Tongji University, Shanghai 200092

Received  December 2010 Revised  July 2011 Published  January 2012

This paper is concerned with a geodesic curvature flow on the unit sphere. In each zone between the equator and the circle with latitude $\theta_0 \in (0, \frac{\pi}{2} ]$, we give the existence and uniqueness of a spiral rotating wave of the geodesic curvature flow.
Citation: Bendong Lou. Spiral rotating waves of a geodesic curvature flow on the unit sphere. Discrete & Continuous Dynamical Systems - B, 2012, 17 (3) : 933-942. doi: 10.3934/dcdsb.2012.17.933
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