题目:Global well-posedness of the 2D Boussinesq-Navier-Stokes equations with anisotropic critical dissipation
报告人: 叶专 教授 江苏师范大学
报告时间: 2023-4-9(周日) 10:00-12:00
报告地点: 我院408
摘要:In this talk, we consider the 2D Boussinesq-Navier-Stokes equations with anisotropic critical dissipation. More precisely, we establish the global well-posedness of the 2D Boussinesq equations with fractional vertical dissipation in the horizontal velocity, horizontal dissipation in the vertical velocity and zero thermal diffusion, which is shown by taking advantage of the nice structure of the 2D Boussinesq equations and several refined commutator estimates. This result can be regarded as a further improvement of several previous works.
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JMPA、JFA、JDE、JNS、Nonlinearity。