Local existence and uniqueness of skew mean curvature flow

DOI10.1515/crelle-2021-0023zbMath1472.53100arXiv1904.03822OpenAlexW3160763965MaRDI QIDQ2043596

Chong Song

Publication date: 3 August 2021

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.03822

zbMATH Keywords

vortex filament equationgeometric flowcodimension-two submanifold

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Flows related to mean curvature (53E10)

Related Items (4)

Existence and uniqueness of local regular solution to the Schrödinger flow from a bounded domain in \(\mathbb{R}^3\) into \(\mathbb{S}^2\) ⋮ Local well-posedness of the skew mean curvature flow for small data in \(d \geqq 2\) dimensions ⋮ Global and local theory of skew mean curvature flows ⋮ Local well-posedness of skew mean curvature flow for small data in \(d\ge 4\) dimensions

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