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Winding behaviour of finite-time singularities of the harmonic map heat flow
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UNSPECIFIED. (2004) Winding behaviour of finite-time singularities of the harmonic map heat flow. MATHEMATISCHE ZEITSCHRIFT, 247 (2). pp. 279-302. ISSN 0025-5874
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Official URL: http://dx.doi.org/10.1007/s00209-003-0582-3
Abstract
We settle a number of questions about the possible behaviour of the harmonic map heat flow at finite-time singularities. In particular, we show that a type of nonuniqueness of bubbles can occur at finite time, we show that the weak limit of the flow at the singular time can be discontinuous, we determine exactly the (polynomial) rate of blow-up in one particular example, and we show that 'winding' behaviour of the flow can lead to an unexpected failure of convergence when the flow is (locally) lifted to the universal cover of the target manifold.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Journal or Publication Title: | MATHEMATISCHE ZEITSCHRIFT |
| Publisher: | SPRINGER-VERLAG |
| ISSN: | 0025-5874 |
| Date: | April 2004 |
| Volume: | 247 |
| Number: | 2 |
| Number of Pages: | 24 |
| Page Range: | pp. 279-302 |
| Identification Number: | 10.1007/s00209-003-0582-3 |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/8411 |
Data sourced from Thomson Reuters' Web of Knowledge
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