In this paper,we prove the local existence and uniqueness of solutions to the evolutionary model for magnetoviscoelasticity inR2,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 mag-netization.Our approach depends on approximating the system with a sequence of perturbed systems.
关键词
磁粘弹性演化模型/局部解/唯一性/扰动系统
Key words
the evolutionary model for magnetoviscoelasticity/local solution/uniqueness/perturbed systems