Work

Modified mean curvature flow of graphs in Riemannian manifolds

Year: 2026

Type: article

Abstract: We obtain height, gradient, and curvature a priori estimates for a modified mean curvature flow in Riemannian manifolds endowed with a Killing vector field. As a consequence, we prove the existence of smooth, entire, longtime solutions for this extrinsic flow with smooth initial data.

Source: Journal of Differential Equations

DOI: 10.1016/j.jde.2026.114648

Authors: Jocel Faustino Norberto de Oliveira, Jorge Herbert Soares de Lira, Matheus Nunes Soares

Institution: Universidade Federal do Ceará

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação de Amparo à Ciência e Tecnologia do Estado de Pernambuco