报告题目：Global regularity results of the 2D fractional Boussinesq equations

报告人：许孝精

报告时间：2024年10月31日（周四）上午11:00开始

报告地点：数学楼315会议室

报告摘要：In this talk, I shall first introduce some global well-posedness results on the 2D Boussinesq equations, then I shall show our newest result on the 2D Boussinesq equations in the subcritical case. In addition, the global regularity of the critical case is also obtained provided that the L^∞-norm of initial temperature is small enough. The key ingredient and new observation are the iterative process between the combined quantity and the temperature, which may be of independent of interest. Finally, a global regularity result is also obtained for another subcritical case.

报告人简介：许孝精，北京师范大学数学科学学院教授、博士生导师，“京师特聘”拔尖学者，数学建模教育中心执行主任。主要从事流体力学数学理论的研究，给出了一系列Boussinesq方程的适定性理论。曾获“吉林省优秀博士学位论文”，北京市优秀教学成果奖，北师大励耘优秀青年教师奖一等奖，校优秀博士生学位论文指导教师，校优质课程特等奖等。主持了多项国家自然科学基金。 发表学术论文60余篇，被引用1000余次。大部分成果发表在J. Math. Pures Appl., J. Funct. Anal., SIAM J. Math. Anal.，IUMJ，Nonlinearity等国际知名学术期刊。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。