a1 Department of Mathematics, Southeast University, No. 2 Sipailou, Nanjing 210096, PR China (email: firstname.lastname@example.org)
a2 Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong (email: email@example.com)
The asymptotic stability of two types of invariant solutions under a curvature flow in the whole plane is studied. First, by extending the work of others, we prove that the stationary line with nonzero slope will attract the graphical curves which surround it. Then a similar property is obtained for the grim reaper.
(Received June 07 2009)
(Online publication February 07 2011)
2010 Mathematics subject classification
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This work is supported by the Grant for New PhD Teacher Program of Southeast University.