论文标题
理想的MHD。第三部分：三维理想磁流失动力学中alfvén波的逆散射
Ideal MHD. Part III: Inverse scattering of Alfvén waves in three dimensional ideal magnetohydrodynamics
论文作者
论文摘要
本文的目的是解决由三维理想不可压缩的MHD系统控制的非线性alfvén波的反散射问题。弥合几何方法和加权能量估计，我们建立了几个散射同构，以实质上增强了我们先前的刚性结果。这个答案与alfvén波的行为与遥远观察者检测到的散射场完全相同的物理直觉是一致的。当前工作的新颖性是双重的：一方面，探索了最好的血浆中的alfvén波及其无限范围的散射场之间的关系。对于另一件事，对MHD方程中固有的零结构进行了彻底检查，尤其是当我们估计压力项时。
The purpose of this paper is to solve the inverse scattering problem of nonlinear Alfvén waves governed by the three dimensional ideal incompressible MHD system. Bridging together geometric methods and weighted energy estimates, we establish a couple of scattering isomorphisms to substantially strengthen our previous rigidity results. This answer is consistent with the physical intuition that Alfvén waves behave exactly in the same manner as their scattering fields detected by the faraway observers. The novelty of the present work is twofold: for one thing, the relationship between Alfvén waves emanating from the plasma and their scattering fields at infinities is explored to the best; for another thing, the null structure inherent in MHD equations is thoroughly examined, especially when we estimate the pressure term.
