报告题目：Global regularity results of the 2D Boussinesq equations with fractional dissipation
工作单位：江苏师范大学
报告时间：2月27日16：00-18：00
地点：数信学院305
报告摘要：In this talk, we consider the 2D Boussinesq equations with fractional dissipation. More precisely, we first establish the global regularity of the 2D Boussinesq equations in the subcritical case when the velocity dissipation index is greater than two-thirds. In addition, the global regularity of the corresponding critical case is also obtained provided that the maximum norm of initial temperature is small enough. In the case when the velocity dissipation index is less than or equal to two-thirds, a refined global regularity result is also derived. The key ingredient and new observation are the iterative process between the combined quantity (or the vorticity) and the temperature, which may be of independent of interest.
报告人简介：叶专，2016年6月获得北京师范大学理学博士学位。毕业至今任职于江苏师范大学，现任副教授，硕士生导师，美国《数学评论》评论员和德国《数学文摘》评论员，主要从事流体动力学方程适定性问题的研究。主持过1项国家青年科学基金和 1项江苏省青年科学基金，入选2020年度江苏省“青蓝工程”优秀青年骨干教师，近20余篇论文发表在国际知名学术期刊《Mathematische Annalen》,《Journal de Mathématiques Pures et Appliquées》，《Journal of Functional Analysis》，《Journal of Differential Equations》,《Nonlinearity》，《Journal of Nonlinear Science》。
