主 讲 人：李扬 副教授（安徽大学）

讲座时间：2026年9月29日（周二）下午2:30

讲座地点：钱伟长楼201会议室

欢迎有兴趣的师生前来聆听、交流。

英国上市公司365

2026年9月24日

讲座内容简介：

In this talk, we focus on several applications of dispersive effects in decay estimates of fluid dynamics. First, we consider the decay estimates of global solutions to 3D anisotropic Boussinesq equations with only horizontal dissipation. Apart from the expected 2D heat decay, we reveal the additional dispersive decay rates due to the hydrostatic equilibrium. We also reveal the enhanced dissipation of the third component of velocity field, essentially due to the divergence-free condition. Second, we consider the decay estimates of global solutions to 3D rotating Navier-Stokes equations. By developing delicate estimate for the oscillatory integral resulting from the Coriolis force, we prove the sharp decay estimate of velocity field from above and below. Finally, we mention the extension to rotating MHD equations.

主讲人简介：

李扬，安徽大学数学科学学院副教授。研究领域为流体力学中的偏微分方程。主持国家自然科学基金青年项目、面上项目与安徽省自然科学基金面上项目，在Int. Math. Res. Not., SIAM J.Numer.Anal., Calc. Var. PDE, SIAM J.Math.Anal., Bull Lond. Math Soc. IMA J.Numer.Anal., Nonlinearity, J.Differential.Equations.等期刊发表论文20余篇。