一、报告题目：Some classifications for steady incompressible Euler system and their applications

二、报告人：谢春景 教授

三、时    间：2026年10月23日16:00-17:00

四、报告地点： A4-305

报告摘要：When two-dimensional steady flows are away from stagnation which corresponds to the critical points of the stream functions, the associated Euler equations can be locally reduced to a semilinear equation. On the other hand, stagnation of flows is not only an interesting phenomenon in fluid mechanics, but also plays a significant role in understanding many important properties of fluid equations. It also induces many challenging problems in analysis. First, we discuss the scenario when the Euler equations can be reduced to a single semilinear equation in terms of stream function, where the analysis for the topology of critical point sets and the overdetermined elliptic problems plays a crucial role. Second, we give a classification of incompressible Euler flows via the set of flow angles, where a counterpart of Picard's little theorem for steady Euler equations is established. Finally, the selection for steady solutions of Euler equations via vanishing viscosity limit will be addressed.

报告人简介：谢春景，上海交通大学数学科学学院教授，国家级人才，2002年获武汉大学学士学位，分别于2004年和2007年在香港中文大学获得硕士和博士学位，先后在香港中文大学和美国密歇根大学担任博士后。研究聚焦于高维流体力学方程组的理论分析等。在Duke Math. J., J. Eur. Math. Soc., Arch. Ration. Mech. Anal., Comm. Math. Phys., Adv. Math.等国际期刊发表学术论文40余篇。

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