报告 1：Global well-posedness for axisymmetric MHD system

时间：2023.4.15 9:00-9:50

腾讯会议：695-646-876

摘要：The purpose of this talk is to study the incompressible non-resistive MHD equations in R^3. We establish the global well-posedness of the system if the initial data is axially symmetric and the swirl component of the velocity and the magnetic vorticity vanish. In particular, the special axially symmetric initial data can be arbitrarily large and satisfy low regularity assumptions.

报告 2：Regularity Criteria for the 3D Axisymmetric Non-Resistive MHD System

时间：2023.4.15 10:00-10:50  

腾讯会议：695-646-876

摘要：We establish regularity criteria of 3D axisymmetric non-resistive MHD system with non-zero swirl. It is shown that strong solutions of this system can be smoothly extended beyond the possible blow-up time T if the horizontal angular component of the velocity belongs to some Lorentz spaces. Our result does not need any additional assumption on the magnetic field. In particular, we also obtain regularity criteria for the 3D axisymmetric Navier-Stokes system.

报告人介绍：

李洲煜，西安理工大学理学院应用数学系讲师。主要从事非线性偏微分方程、流体力学方程组的数学理论研究。先后在“Communications in Mathematical Sciences”、“ZAMM-Zeitschrift für Angewandte Mathematik und Mechanik”、“Mathematical Methods in the Applied Sciences”等学术期刊上发表SCI论文10余篇。目前主持国家自然科学基金青年基金一项，陕西省教育厅专项科研计划项目一项。