On the rigidity from infinity for nonlinear Alfven waves

The Alfven waves are fundamental wave phenomena in magnetized plasmas and the dynamics of Alfven 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 Alfven 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. (C) 2021 Elsevier Inc. All rights reserved.

Automated summary

This paper studies the rigidity aspect of the scattering problem for Alfven waves in magnetized plasmas, and proves that the waves must vanish under certain conditions. The proof is based on a careful study of the null structure and a family of weighted energy estimates.