Global existence of weak solutions to a three-dimensional fractional model in magneto-viscoelastic interactions

被引：0
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作者：
Idriss Ellahiani
El-Hassan Essoufi
Mouhcine Tilioua
机构：
[1] Univ Hassan 1,Laboratoire MISI
[2] Univ My Ismaïl,FST Errachidia, Laboratoire M2I, Equipe MAMCS
来源：
Boundary Value Problems | / 2017卷
关键词：
the three-dimensional periodical fractional Heisenberg equation; equation of viscoelasticity; weak solution; commutator estimates;
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摘要：
In this paper, we prove the existence of global weak solutions for a model described by the fractional Heisenberg equation for the magnetization field and the viscoelastic integro-differential equation for the displacements. We study the three-dimensional case. The demonstration of the existence of weak solution is based on the method of Faedo-Galerkin; and to get the convergence of the nonlinear terms, we introduce the commutator structure.
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