报告题目：Global regularity for 2D tropical climate model with fractional dissipation
报告人：叶专副教授
报告时间：10月19日下午13：30-14：30
腾讯会议：122-403-307
报告摘要：In this talk, we consider the two-dimensional tropical climate model with critical dissipation. The critical case here refers to the scenario where the powers of the fractional Laplacians for the dissipative term of the first baroclinic mode of the velocity and the diffusive term of the temperature field add up to three halves. Whether classical solutions to this system develop finite-time singularities is a difficult problem and remains open. The objective of this talk is to establish global regularity for this system with any positive power of the fractional Laplacian for the barotropic mode equation. Methodologically, in addition to establishing maximal regularity for general fractional heat operators, De Giorgi-Nash estimates, and simultaneous estimates for several coupled quantities, a central part of our analysis relies on a novel iterative process involving the vorticity. This talk is based on a joint work with Qian Li (China University of Mining and Technology) and Yueyuan Zhong (Suzhou University of Science and Technology).
个人简介：叶专，江苏师范大学副教授，硕士生导师，2016年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，期间访问匹兹堡大学一年，美国《数学评论》评论员和德国《数学文摘》评论员。主持完成国家青年科学基金和江苏省青年科学基金，现主持国家自然科学基金面上项目，入选2020年度江苏省“青蓝工程”优秀青年骨干教师。主要从事不可压缩流体动力学方程适定性问题的研究，部分学术论文发表在国际知名数学期刊《Mathematische Annalen》、《Journal de Mathématiques Pures et Appliquées》、《Journal of Functional Analysis》、《Communications in Partial Differential Equations》、《Calculus of Variations and Partial Differential Equations》、《Journal of Differential Equations》。
