Work

Existence of monotone Morse flow lines of the expander functional

Year: 2026

Type: article

Abstract: Given a smooth asymptotically conical self-expander that is strictly unstable we construct a (singular) Morse flow line of the expander functional that connects it to a stable self-expander. This flow is monotone in a suitable sense and has small singular set.

Source: Transactions of the American Mathematical Society

DOI: 10.1090/tran/9610

Authors: Jacob Bernstein, Letian Chen, Lu Wang

Institutions: Johns Hopkins University, University of Tennessee at Knoxville, Yale University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: Hypersurfaces of Low Entropy and Mean Curvature Flow, Entropy in Mean Curvature Flow and Minimal Hypersurfaces, Mean Curvature Flow and Singular Minimal Surfaces