论文标题
关于非线性alfvén波的刚性的刚性
On the rigidity from infinity for nonlinear Alfvén waves
论文作者
论文摘要
Alfvén波是磁化等离子体中的基本波现象，Alfvén波的动力学由称为MHD系统的非线性偏微分方程系统控制。在本文中，我们研究了MHD方程的散射问题的僵化方面：我们证明，如果无限态消失，则Alfvén波必须消失。证明是基于对无效结构和加权能量估计系列的仔细研究。
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.
