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

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

Research output: Contribution to JournalArticleAcademicpeer-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 languageEnglish
Pages (from-to)675-695
Number of pages20
JournalCommunications in Contemporary Mathematics
Volume13
Issue number4
DOIs
Publication statusPublished - 2011

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