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Refined asymptotics of the Teichmüller harmonic map flow into general targets

Abstract:

The Teichmüller harmonic map flow is a gradient flow for the harmonic map energy of maps from a closed surface to a general closed Riemannian target manifold of any dimension, where both the map and the domain metric are allowed to evolve. Given a weak solution of the flow that exists for all time t≥0t≥0, we find a sequence of times ti→∞ti→∞ at which the flow at different scales converges to a collection of branched minimal immersions with no loss of energy. We do this by developing a compact...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Publisher copy:
10.1007/s00526-016-1019-2

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Topping, PM More by this author
Publisher:
Springer Berlin Heidelberg Publisher's website
Journal:
Calculus of Variations and Partial Differential Equations Journal website
Volume:
2016
Issue:
55
Pages:
Article: 85
Publication date:
2016
DOI:
EISSN:
1432-0835
ISSN:
0944-2669
URN:
uuid:fcc4f924-2a1d-4cca-84d3-2ff25e5fc918
Source identifiers:
627157
Local pid:
pubs:627157

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