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

磁粘弹性演化模型解的局部存在唯一性

作　　者：YE Ting-ting WANG Guang-wu HUANG Gui-huo 叶婷婷;王光武;黄贵活(广州大学数学与信息科学学院,广东广州510006)

机构地区：[1]School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China

出　　处：《广州大学学报（自然科学版）》2024年第4期77-90,共14页Journal of Guangzhou University:Natural Science Edition

摘　　要：In this paper,we prove the local existence and uniqueness of solutions to the evolutionary model for magnetoviscoelasticity in R^(2),R^(3).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 mag-netization.Our approach depends on approximating the system with a sequence of perturbed systems.文章证明了在R^(2)、R^(3)中磁粘弹性演化模型解的局部存在唯一性。该模型由不可压缩的Navier-Stokes系统、变形梯度演化的正则化系统和磁化动力学的Landau-Lifshitz-Gilber系统组成。该方法依赖于用一系列扰动系统来逼近该系统。

关 键 词：the evolutionary model for magnetoviscoelasticity local solution UNIQUENESS perturbed systems 

分 类 号：O175.29[理学—数学]