报告题目：Global small solutions to the MHD with some kinds of dissipation terms

报告人：许孝精教授（北京师范大学）

报告时间：2021年11月27日16：00-18：00

报告地点：数学与统计学院4号楼302室/ID: 953-375-957

报告摘要：In this talk, I shall introduce some recent results on global (small) solutions of the incompressible magnetohydrodynamic(MHD) system with some kinds of dissipation terms in 2D，including the fractional Laplacian, anisotropic dissipation. These results established the global existence and uniqueness of smooth solutions when the initial data is close to an equilibrium state. Some of results presented rigorously confirm a nonlinear phenomenon observed in physical experiments that the magnetic field stabilizes electrically conducting fluids in fact, and some cases also gave the explicit large-time decay rates for various Sobolev norms of the solutions.

报告人简介：

许孝精，男，北京师范大学数学科学学院教授，副院长。2005年于吉林大学获博士学位。主要研究流体动力学中偏微分方程组的适定性理论。博士学位论文获“吉林省优秀博士学位论文”，曾获北京市优秀本科毕业论文指导教师。主持完成省部级及以上的科研项目多项。 发表学术论文50余篇，部分结果发表在《Journal de Mathématiques Pures et Appliquées》,《Indiana University Mathematics Journal》, 《SIAM Journal on Mathematical Analysis》，《Nonlinearity》，《Journal Nonlinear Science》，《Calculus of Variations and Partial Differential Equations》，《Journal of Differential Equations》等国际著名SCI数学期刊上。曾在法国、美国、加拿大、波兰和香港等地区进行学术访问十余次。