分类: 数学 >> 数学物理 提交时间: 2022-12-07
摘要: In this article we employ classical tricks to give local and global well-posedness to MagnetoElasticity System. Different from many cases, we consider the equation which the magnetic field satisfies is Landau-Lifshitz system without viscidity, i.e. the Schrodinger flow. As is well known, people can not obtain global existence of Schrodinger flow at general cases. However, the reason why we do what others can not do is the Schrodinger flow with non-zero convection term.