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学术报告五十六: Global regularity of 2D surface quasi-geostrophic equation with anisotropic fractional dissipation

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时间:2020-08-05 11:03 

亚搏pt官网网址学术报告[2020] 056

(高水平大学建设系列报告409)

报告题目: Global regularity of 2D surface quasi-geostrophic equation with anisotropic fractional dissipation

报告人:叶专江苏师范大学

报告时间:2020. 08. 06下午1500--1545

报告地点: 腾讯会议 会议号码:885542483  

报告内容: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.

报告人简历:叶专 副教授,20166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,主要从事流体动力学方程的适定性问题。现在主持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期刊J. Math. Pures Appl.NonlinearityJ. Differential EquationsJ. Nonlinear ScienceDCDS-APacific J. Math.J. Math. Fluid Mech.

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