On a Fractional Model in Magneto-Elastic Interactions

On a Fractional Model in Magneto-Elastic Interactions

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 characte...

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Veröffentlicht in:IAENG international journal of applied mathematics 2023-12, Vol.53 (4), p.1-9
Hauptverfasser: El Idrissi, Mohamed, Essoufi, El-Hassan, Ellahiani, Idriss
Format: Artikel
Sprache:eng
Schlagworte:
Commutators
Flow mapping
Galerkin method
Heat transmission
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Zusammenfassung: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.
ISSN:1992-9978
1992-9986