Local existence and uniqueness of solutions to the evolutionary model for magnetoviscoelasticity

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Journal of Guangzhou University(Natural Science Edition) ›› 2024, Vol. 23 ›› Issue (4) : 77-90.

Local existence and uniqueness of solutions to the evolutionary model for magnetoviscoelasticity

  • YE Ting ting, WANG Guang wu, HUANG Gui huo
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Abstract

In this paper, we prove the local existence and uniqueness of solutions to the evolutionary model for magnetoviscoelasticity in R2 , R3 . This model consists of an incompressible Navier Stokes, a regularized system for the evolution of the deformation gradient and the Landau Lifshitz Gilbert system for the dynamics of the magnetization. Our approach depends on approximating the system with a sequence of perturbed systems.

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the evolutionary model for magnetoviscoelasticity / local solution / uniqueness / perturbed systems

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Local existence and uniqueness of solutions to the evolutionary model for magnetoviscoelasticity. Journal of Guangzhou University(Natural Science Edition). 2024, 23(4): 77-90

References

[23]陈恕行.现代偏微分方程导论[M].北京:科学出版社,2005
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