Lavrentiev Phenomenon in Microstructure Theory
| dc.contributor.author | Winter, Matthias ( ) | |
| dc.date.accessioned | 2018-08-27T20:49:21Z | |
| dc.date.available | 2018-08-27T20:49:21Z | |
| dc.date.issued | 1996-08-22 | |
| dc.identifier.citation | Winter, M. (1996). Lavrentiev phenomenon in microstructure theory. Electronic Journal of Differential Equations, 1996(06), pp. 1-12. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/7626 | |
| dc.description.abstract | A variational problem arising as a model in martensitic phase transformation including surface energy is studied. It explains the complex, multi-dimensional pattern of twin branching which is often observed in a martensitic phase near the austenite interface. We prove that a Lavrentiev phenomenon can occur if the domain is a rectangle. We show that this phenomenon disappears under arbitrarily small shears of the domain. We also prove that other perturbations of the problem lead to an extinction of the Lavrentiev phenomenon. | en_US |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Southwest Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 1996, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Singular perturbation | en_US |
| dc.subject | Lavrentiev phenomenon | en_US |
| dc.subject | Martensitic phase transformation | en_US |
| dc.title | Lavrentiev Phenomenon in Microstructure Theory | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
