On An Evolution Problem For Convex Curves
نویسندگان
چکیده
In this paper, we will investigate a new curvature flow for closed convex plane curves which shortens the length of the evolving curve but expands the area it bounds and makes the curve more and more circular during the evolution process, and the final shape of the evolving curve will be a circle (as t goes to infinity). This flow is determined by a coupled system and thus different from the popular curve-shortening flow studied by Gage-Hamilton. MathematicsSubjectClassification : 35K15, 35K55, 35K65, 53A04
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