报告人：叶专
报告题目：A new logarithmic Gronwall inequality and global regularity of 2D SQG equation with anisotropic fractional dissipation
报告时间：2025年9月20日10：30-11：30
报告方式：腾讯会议(268-972-170)
报告摘要：In this talk, we consider the two-dimensional surface quasi-geostrophic equation with fractional horizontal dissipation and fractional vertical thermal diffusion. Global existence of classical solutions is established when the dissipation powers are restricted to a suitable range. To achieve this goal, we establish several anisotropic embedding and interpolation inequalities involving fractional derivatives. In addition, in order to bypass the unavailability of the classical Gronwall inequality, we establish a new logarithmic type Gronwall inequality, which may be of independent interest and potential applications.
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，部分论文发表在国际知名学术期刊Math.Ann.、JMPA、JFA、JDE、JNS、Nonlinearity。
