Partial compactness for the 2-D Landau-Lifshitz flow
| dc.contributor.author | Harpes, Paul | |
| dc.date.accessioned | 2021-04-26T16:58:24Z | |
| dc.date.available | 2021-04-26T16:58:24Z | |
| dc.date.issued | 2004-07-05 | |
| dc.description.abstract | Uniform local C∞-bounds for Ginzburg-Landau type approximations for the Landau-Lifshitz flow on planar domains are proven. They hold outside an energy-concentration set of locally finite parabolic Hausdorffdimension 2, which has finite times-slices. The approximations subconverge to a global weak solution of the Landau-Lifshitz flow, which is smooth away from the energy concentration set. The same results hold for sequences of global smooth solutions of the 2-d Landau-Lifshitz flow. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 24 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Harpes, P. (2004). Partial compactness for the 2-D Landau-Lifshitz flow. <i>Electronic Journal of Differential Equations, 2004</i>(90), pp. 1-24. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13444 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Partial compactness | |
| dc.subject | Partial regularity | |
| dc.subject | Landau-Lifshitz flow | |
| dc.subject | A priori estimates | |
| dc.subject | Harmonic map flow | |
| dc.subject | Non-linear parabolic | |
| dc.subject | Struwe-solution | |
| dc.subject | Approximations | |
| dc.title | Partial compactness for the 2-D Landau-Lifshitz flow | |
| dc.type | Article |