学术报告会：Global regularity and large time behavior for the micropolar Rayleigh-Benard problem

报告题目：Global regularity and large time behavior for the micropolar Rayleigh-Benard problem

报告人：尚海锋东北大学教授

报告时间：2023年6月8日周四上午10:30

报告地点：S3-502

摘要：In this talk, we will introduce some recent results on the global regularity problem and large time behavior to the 2D and 3D micropolar Rayleigh-Benard problem. For the 2D case, we establish the global regularity of solutions to this system with only velocity dissipation. For the 3D case, we obtain the global regularity for this system with only velocity dissipation and with velocity dissipation and partial micro-rotational dissipation, respectively. Moreover, the optimal decay estimates for this system with full or partial dissipation near hydrostatic equilibrium are established.

个人简介：

尚海锋，东北大学秦皇岛分校数学与统计学院教授。2010年于大连理工大学获得博士学位，曾访问美国俄克拉荷马州立大学。主要研究流体力学方程和非线性抛物方程的适定性理论。主持完成国家自然科学基金2项。发表学术论文30余篇，部分结果发表在Math. Z.、J. Differential Equations、Proc. Roy. Soc. Edinburgh Sect. A、J. Math. Fluid Mech.、Pacific J. Math.等国内外知名期刊上。