An eternal curve flow in centro-affine geometry
نویسندگان
چکیده
In this paper, we investigate the long-term behavior for an invariant plane curve flow, whose evolution process can be expressed as a second-order nonlinear parabolic equation with respect to centro-affine curvature. The forward and backward limits in time are discussed, which shows that closed convex embedded may converge ellipse when evolving according flow. addition, obtain isoperimetric inequality geometry.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2023
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2023.109904