报告题目：  Geometric Effects on Geophysical Fluid Dynamics 
报告人：杜毅 教授
报告时间：2025年11月8日（星期六）15:45-16:30
报告地点：数学科学学院205
摘要：This presentation explores the profound influence of geometric complexities on geophysical fluid dynamics. First, we investigate The Ekmman boundary layer phenomena in Earth's fluid systems with non-flat boundaries, analyzing how topographic variations significantly alter classical boundary layer theory and affect large-scale geophysical flows. Second, we examine the stability properties of non-flat vortex sheets, demonstrating that geometric curvature fundamentally modifies the classical Kelvin-Helmholtz instability paradigm and introduces new stabilization mechanism. Our analysis reveals that curved vortex interfaces exhibit enhanced stability characteristics compared to their planar counterparts, with important implications for atmospheric and oceanic flow patterns. The mathematical framework combines asymptotic analysis of boundary layers with spectral stability theory for curved interfaces, providing new insights into the interplay between geometry and fluid stability in geophysical contexts.

报告人简介：杜毅，暨南大学，教授，博士生导师。主要研究偏微分方程流体力学，波动方程等。在Journal de Mathématiques Pures et Appliquées； Comm. Partial Diff. Eqs.; SIAM, J.Math.Anal. 等期刊发表过论文；主持并完成国家自然科学基金4项，也主持及参与多项省部级项目。

编辑：王苗   审核：舒乾宇   终审：屈加文