Infinite time blow-up for half-harmonic map flow from R into S1

DOI10.1353/ajm.2021.0031zbMath1473.35639arXiv1711.05387OpenAlexW4243426548MaRDI QIDQ4959258

Youquan Zheng, Yannick Sire, Wei, Juncheng

Publication date: 13 September 2021

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05387

zbMATH Keywords

prescribed singularitieshalf-harmonic map flow

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Singularity in context of PDEs (35A21) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

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Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary ⋮ Singularity formation in the harmonic map flow with free boundary ⋮ Nematic liquid crystal flow with partially free boundary ⋮ On uniqueness for half-wave maps in dimension 𝑑≥3 ⋮ Half-harmonic gradient flow: aspects of a non-local geometric PDE ⋮ Non-degeneracy and quantitative stability of half-harmonic maps from \(\mathbb{R}\) to \(\mathbb{S}\) ⋮ Global dissipative half-harmonic flows into spheres: small data in critical Sobolev spaces ⋮ Uniqueness and regularity of the fractional harmonic gradient flow in \(S^{n-1}\) ⋮ Weak solutions for the time fractional harmonic map flow ⋮ Infinite time blow-up for critical heat equation with drift terms ⋮ Infinite time blow-up for the fractional heat equation with critical exponent ⋮ Remarks on the Bernstein inequality for higher order operators and related results

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