报告题目：Solvability investigation on a nonlinear magneto-heat
coupling axisymmetric problem from induction heating models
时 间：2022年10月23日（星期日）上午8：30
地 点：腾讯会议（会议号：935-183-621）
主 办：数学与统计学院，福建省分析数学及应用重点实验室，福建省应用数学中心（福建师范大学），福建师范大学数学研究中心
参加对象：感兴趣的老师和研究生
报告摘要：This talk aims to investigate a nonlinear magneto-heat coupling axisymmetric problem from induction heating models. The liquid metallic material satisfies a nonlinear constitutional relationship between the magnetic field and the magnetic induction and have the temperature-dependent electric conductivity. This material is allowed to move without changing its domain. Making full use of cylinder symmetry, we reduce the original three-dimensional problem to a two-dimensional one on a meridional section provided the current density has only azimuthal component in cylindrical coordinates. The variational formulation of a magnetic vector potential and a temperature variable in appropriate weighted Sobolev spaces is given. Employing Rothe’s method and the theory of monotone operator, we prove the existence of a weak solution to this nonlinear coupling system. Finally, we show some numerical simulation results to an approximate induction furnace model to support our conclusion.
报告人简介: 康彤，教授，博士生导师。博士毕业于中科院数学与系统科学研究院。主要研究领域：应用数学，计算电磁学，科学工程计算，反问题。学术兼职：北京数学会理事、北京计算数学会理事、科技部国家重大专项会评专家、国家留学基金委通讯评议专家等。