On a fractional phase transition model in ferromagnetism
dc.contributor.author | Ayouch, Chahid | |
dc.contributor.author | Essoufi, El-Hassan | |
dc.contributor.author | Ouhadan, Mohamed | |
dc.contributor.author | Tilioua, Mouhcine | |
dc.date.accessioned | 2022-03-09T21:01:19Z | |
dc.date.available | 2022-03-09T21:01:19Z | |
dc.date.issued | 2018-10-26 | |
dc.description.abstract | We consider a fractional model describing phase transition in ferromagnetic materials. This model includes the three-dimensional evolution of both thermodynamic and electromagnetic properties of the ferromagnetic material. We first prove existence of a global weak solution by using Faedo-Galerkin method. Then we establish uniqueness for the considered model. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 13 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Ayouch, C., Essoufi, E. H., Ouhadan, M., & Tilioua, M. (2018). On a fractional phase transition model in ferromagnetism. Electronic Journal of Differential Equations, 2018(175), pp. 1-12. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15471 | |
dc.language.iso | en | |
dc.publisher | 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Phase transition | |
dc.subject | Fractional Laplacian | |
dc.subject | Weak solution | |
dc.subject | Existence and uniqueness | |
dc.subject | Faedo-Galerkin method | |
dc.title | On a fractional phase transition model in ferromagnetism | |
dc.type | Article |