Local and Global Well-Posedness to Magneto-Elasticity System

分类： 数学 >> 数学物理 提交时间： 2022-12-07

Jia Zonglin

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.

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