On the rigidity from infinity for nonlinear Alfven waves
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：于品教授
：2020-09-24 16:30
：实验楼105
Speaker：Prof. Yu Pin
清华大学
Title: On the rigidity from infinity for nonlinear Alfven waves
Time：16:30, 24 Sept., 2020
Location：实验楼105(offline)
Abstract:
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 the talk, we will focus on the rigidity aspects 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. This is based on the joint work with Mengni Li.
Speaker Introduction：
于品，清华大学数学系与丘成桐数学中心教授。2010年美国普林斯顿大学博士毕业。入选中组部青年拔尖人才计划（2015）；国家优秀青年基金（2015），杰出青年基金（2018）获得者； 第十六届中国青年科技奖（2020）获得者。研究领域涉及广义相对论，微分几何，偏微分方程。主要工作包括：在广义相对论中对黑洞刚性问题，及黑洞形成机制深入研究； 利用微分几何方法，并结合黑洞形成理论，研究三维激波形成机制，以及波方程大初值解，MHD方程整体存在性。在Ann. of Math.(2), Invent. Math., J. Eur. Math. Soc., Ann. PDE, Adv. Math., Comm. Math. Phys.等国际顶级期刊发表多篇学术论文。
联系人：王金花
