Robust exponential attractors for singularly perturbed phase-field type equations
| dc.contributor.author | Miranville, Alain ( ) | |
| dc.contributor.author | Zelik, Sergey ( ) | |
| dc.date.accessioned | 2020-08-17T15:14:54Z | |
| dc.date.available | 2020-08-17T15:14:54Z | |
| dc.date.issued | 2002-07-04 | |
| dc.identifier.citation | Miranville, A., & Zelik, S. (2002). Robust exponential attractors for singularly perturbed phase-field type equations. Electronic Journal of Differential Equations, 2002(63), pp. 1-28. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/12396 | |
| dc.description.abstract | In this article, we construct robust (i.e. lower and upper semicontinuous) exponential attractors for singularly perturbed phase-field type equations. Moreover, we obtain estimates for the symmetric distance between these exponential attractors and that of the limit Cahn-Hilliard equation in terms of the perturbation parameter. We can note that the continuity is obtained without time shifts as it is the case in previous results. | en_US |
| dc.format | Text | |
| dc.format.extent | 28 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, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | Phase-field equations | en_US |
| dc.subject | Exponential attractors | en_US |
| dc.subject | Upper and lower semicontinuity | en_US |
| dc.title | Robust exponential attractors for singularly perturbed phase-field type equations | 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 |
