Variational characterization of interior interfaces in phase transition models on convex plane domains
| dc.contributor.author | Garza-Hume, Clara E. | |
| dc.contributor.author | Padilla, Pablo | |
| dc.date.accessioned | 2021-01-27T18:17:37Z | |
| dc.date.available | 2021-01-27T18:17:37Z | |
| dc.date.issued | 2003-10-02 | |
| dc.description.abstract | We consider the singularly perturbed Allen-Cahn equation on a strictly convex plane domain. We show that when the perturbation parameter tends to zero there are solutions having a transition layer that tends to a straight line segment. This segment can be characterized as the shortest path intersecting the boundary orthogonally at two points. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 6 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Garza-Hume, C. E., & Padilla, P. (2003). Variational characterization of interior interfaces in phase transition models on convex plane domains. <i>Electronic Journal of Differential Equations, 2003</i>(101), pp. 1-6. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13152 | |
| 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, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Phase transitions | |
| dc.subject | Singularly perturbed Allen-Cahn equation | |
| dc.subject | Convex plane domain | |
| dc.subject | Variational methods | |
| dc.subject | Transition layer | |
| dc.subject | Gauss map | |
| dc.subject | Geodesic | |
| dc.subject | Varifold | |
| dc.title | Variational characterization of interior interfaces in phase transition models on convex plane domains | |
| dc.type | Article |