Work

Anisotropic area-preserving flows for plane curves and entropy inequalities

Year: 2025

Type: article

Abstract: This article describes two anisotropic area-preserving flows for plane curves, both of which are considered to deform one convex curve into another. Different monotonic entropy functions are identified under these flows, which can be utilized to derive two significant entropy inequalities: the log-Minkowski inequality and the curvature entropy inequality, as well as the Brunn–Minkowski inequality.

Source: Canadian Journal of Mathematics

DOI: 10.4153/s0008414x25101533

Authors: Yunlong Yang, Yanlong Zhang

Institutions: Dalian Maritime University, Henan Academy of Sciences

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Natural Science Foundation of Henan Province, Department of Education of Liaoning Province, Fundamental Research Funds for the Central Universities

Award: G7598424805