关于非线性Alfvén波的无穷远刚性
On the rigidity from infinity for nonlinear Alfvén waves
摘要：
阿尔文波是磁化等离子体中的基本波现象，阿尔文波的动力学由称为MHD系统的非线性偏微分方程系统控制。本文研究了MHD方程散射问题的刚性方面：证明了如果Alfvén波的散射场在无穷远处为零，则Alfvén波必为零。证明是基于一个仔细研究的零结构和家庭的加权能量估计。
英文摘要：
The Alfvén waves are fundamental wave phenomena in magnetized plasmas and the dynamics of Alfvén waves are governed by a system of nonlinear partial differential equations called the MHD system. In this paper, we study the rigidity aspect of the scattering problem for the MHD equations: We prove that the Alfvén waves must vanish if their scattering fields vanish at infinities. The proof is based on a careful study of the null structure and a family of weighted energy estimates.
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