| Abstract: |
| Gage studied the area-preserving curvature flow of a plane curve in 1986 and showed that an initially convex interface remains convex and converges to a stationary circle. However, in applications, the medium is often not homogeneous and the interface moves towards a more favorable environment. In this talk we present the area-preserving flow in an inhomogenneous medium and study the properties of stationary solutions and the global existence of interfaces under some assumption. |
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