On a family of inverse curvature flows for closed convex plane curves

Publication date: December 2019Source: Nonlinear Analysis: Real World Applications, Volume 50Author(s): Hongxin Guo, Zezhen SunAbstractIn this note we introduce a family of flows for closed convex curves in the plane. Along the flows the enclosed area of the curve is increasing, and the curve remains convex and converges to a circle. The flows include various flows studied by various authors as special cases.

Source: Nonlinear Analysis: Real World Applications - May 1, 2019 Category: Research Source Type: research