Work

Partial regularity of heat flow of fractional harmonic maps to spheres

Year: 2026

Type: preprint

Abstract: In this paper, we introduce the notation of stationary heat flow of $s$-harmonic maps from $\R^m$ into the unit sphere $\mathbb{S}^{\ell-1}\hookrightarrow \mathbb{R}^\ell$, for $0

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.29191

Authors: Du, Hengrong, Huang, Tao, Schikorra, Armin, Wang, Changyou

Institutions: Fisk University, Wayne State University, University of Pittsburgh, Purdue University West Lafayette

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: CAREER: Fractional Partial Differential Equations, Harmonic Analysis, and Their Applications in the Geometric Calculus of Variations and Quantitative Topology, Problems on Hydrodynamics and Phase Transitions from Nematic Liquid Crystal Materials

OpenAlex ID: W7223224035

Cites: 1

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Related to: 10