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- Title
On a Fractional Model in Magneto-Elastic Interactions.
- Authors
EL IDRISSI, Mohamed; ESSOUFI, El-Hassan; ELLAHIANI, Idriss
- Abstract
The aim of this research paper is to study the global existence of weak solution of magneto elastic interactions, which is modeled by a three-dimensional mathematical framework. A fractional generalization of the harmonic map heat flow is coupled to an evolution equation for displacement to characterize the model. Faedo-Galerkin method with some commutator is used to estimate and prove global existence of weak solutions for the proposed model.
- Subjects
MATHEMATICAL models; LANDAU-lifshitz equation; MAGNETO; COMMUTATION (Electricity); THREE-dimensional modeling; EVOLUTION equations; HARMONIC maps; GLOBAL analysis (Mathematics)
- Publication
IAENG International Journal of Applied Mathematics, 2023, Vol 53, Issue 4, p1332
- ISSN
1992-9978
- Publication type
Article