Energy concentration for 2-dimensional radially symmetric equivariant harmonic map heat flows

M. Bertsch; R. van der Hout; J. Hulshof

doi:10.1142/S0219199711004294

Energy concentration for 2-dimensional radially symmetric equivariant harmonic map heat flows

M. Bertsch
, R. van der Hout
, J. Hulshof

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

We give a description of singularity formation in terms of energy quanta for 2-dimensional radially symmetric equivariant harmonic map heat flows. Adapting Struwe's energy method we first establish a finite bubble tree result with a discrete multiple of energy quanta disappearing in the singularity. We then use intersection-comparison arguments to show that the bubble tree consists of a single bubble only and that there is a well defined scale R

Original language	English
Pages (from-to)	675-695
Number of pages	20
Journal	Communications in Contemporary Mathematics
Volume	13
Issue number	4
DOIs	https://doi.org/10.1142/S0219199711004294
Publication status	Published - 2011

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

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10.1142/S0219199711004294

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abstract = "We give a description of singularity formation in terms of energy quanta for 2-dimensional radially symmetric equivariant harmonic map heat flows. Adapting Struwe's energy method we first establish a finite bubble tree result with a discrete multiple of energy quanta disappearing in the singularity. We then use intersection-comparison arguments to show that the bubble tree consists of a single bubble only and that there is a well defined scale R",

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AU - Bertsch, M.

AU - van der Hout, R.

AU - Hulshof, J.

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Y1 - 2011

N2 - We give a description of singularity formation in terms of energy quanta for 2-dimensional radially symmetric equivariant harmonic map heat flows. Adapting Struwe's energy method we first establish a finite bubble tree result with a discrete multiple of energy quanta disappearing in the singularity. We then use intersection-comparison arguments to show that the bubble tree consists of a single bubble only and that there is a well defined scale R

AB - We give a description of singularity formation in terms of energy quanta for 2-dimensional radially symmetric equivariant harmonic map heat flows. Adapting Struwe's energy method we first establish a finite bubble tree result with a discrete multiple of energy quanta disappearing in the singularity. We then use intersection-comparison arguments to show that the bubble tree consists of a single bubble only and that there is a well defined scale R

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UR - https://www.scopus.com/pages/publications/80052087114#tab=citedBy

U2 - 10.1142/S0219199711004294

DO - 10.1142/S0219199711004294

M3 - Article

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VL - 13

SP - 675

EP - 695

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

IS - 4

ER -

Energy concentration for 2-dimensional radially symmetric equivariant harmonic map heat flows

Abstract

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