On a fractional phase transition model in ferromagnetism

dc.contributor.authorAyouch, Chahid
dc.contributor.authorEssoufi, El-Hassan
dc.contributor.authorOuhadan, Mohamed
dc.contributor.authorTilioua, Mouhcine
dc.date.accessioned2022-03-09T21:01:19Z
dc.date.available2022-03-09T21:01:19Z
dc.date.issued2018-10-26
dc.description.abstractWe 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.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAyouch, C., Essoufi, E. H., Ouhadan, M., & Tilioua, M. (2018). On a fractional phase transition model in ferromagnetism. <i>Electronic Journal of Differential Equations, 2018</i>(175), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15471
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPhase transition
dc.subjectFractional Laplacian
dc.subjectWeak solution
dc.subjectExistence and uniqueness
dc.subjectFaedo-Galerkin method
dc.titleOn a fractional phase transition model in ferromagnetism
dc.typeArticle

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