Timeline for Singularities in Yang Mills Flow
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 13, 2014 at 9:04 | comment | added | Willie Wong | In terms of global existence, the results I am aware of are all under symmetry assumptions. There's originally the work of Schlatter, Struwe, and Tahvildar-Zadeh (1998) which proved global existence for $SU(2)$ over $\mathbb{R}^4$ under an equivariance assumption, and this has been generalised a bit by Hong and Tian (2004). | |
| Jun 13, 2014 at 8:44 | history | edited | Willie Wong |
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| Jun 13, 2014 at 8:44 | comment | added | Willie Wong | I assume you are only interested in Dimension 4. But for the benefit of the casual reader: Råde (1992) proved global existence in dimensions 2 and 3 for the Yang Mills heat flow over compact manifolds. And in dimensions 5 and higher Naito (1994) showed finite time blow-up. As of 2002 dimension 4 is still open. | |
| S Jun 12, 2014 at 21:11 | history | suggested | jeq | CC BY-SA 3.0 |
Minor English corrections
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| Jun 12, 2014 at 21:00 | review | Suggested edits | |||
| S Jun 12, 2014 at 21:11 | |||||
| Jun 12, 2014 at 18:48 | comment | added | Noah Schweber | Link to Struwe's paper: download.springer.com/static/pdf/421/… | |
| Jun 12, 2014 at 18:31 | history | asked | Paul | CC BY-SA 3.0 |