On the finite time blow-up of biharmonic map flow in dimension four

DOI10.1007/BF03377386zbMath1415.58010arXiv1401.6274MaRDI QIDQ1691823

Lei Liu, Hao Yin

Publication date: 25 January 2018

Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6274

zbMATH Keywords

biharmonic map flowfinite blow-upneck analysis

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (6)

Blow-up analysis for approximate Dirac-harmonic maps in dimension 2 with applications to the Dirac-harmonic heat flow ⋮ Heat flow of extrinsic biharmonic maps from a four dimensional manifold with boundary ⋮ Doubling annulus Pohožaev type identity and applications to approximate biharmonic maps ⋮ Bubbling analysis for extrinsic biharmonic maps from general Riemannian 4-manifolds ⋮ Finite time blowup of the \(n\)-harmonic flow on \(n\)-manifolds ⋮ Heat flow of Yang-Mills-Higgs functionals in dimension two

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