Well-posedness of the ferrimagnetic equations

作者：Guo Boling; Pu Xueke^*

来源：Journal of Mathematical Analysis and Applications, 2008, 339(1): 312-323.

DOI：10.1016/j.jmaa.2007.06.046

• ferrimagnetic equation
• penalty method
• well-posedness
• weak solutions
• contraction mapping principle

In this paper, we show the existence of global weak solutions of the ferrimagnetic equations on compact Riemannian manifold using the penalty method. We also show the uniqueness of the solution and its well-posedness by the energy estimates method in lower dimensions. In particular, when the space dimension is one, we can prove that the problem is globally well-posed.

• 出版日期2008-3-1
• 单位中国工程物理研究院; 北京应用物理与计算数学研究所