Global regularity results of the 2D fractional Boussinesq equations

讲座名称：Global regularity results of the 2D fractional Boussinesq equations

讲座人：许孝精 教授

讲座时间：6月17日10:00-11:00

地点：南校区会议中心103报告厅

讲座人介绍：

许孝精，北京师范大学数学科学学院教授。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”，主持完成省部级及以上的科研项目多项。 发表学术论文60余篇，部分结果发表在J. Math. Pures Appl., JFA, IUMJ, SIAM J. Math. Anal.，Nonlinearity，J. Nonlinear Science，CVPDE，JDE等知名杂志上。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。

讲座内容：

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.

主办单位：数学与统计学院