Some classifications of
steady solutions of 2D Euler system
报告专家：谢春景 教授（上海交通大学）
报告时间：4月21日（周二）10:30-11:30
报告地点：国家天元数学西南中心401
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 flows was established. Finally, the classification for vanishing viscosity limit of fluid via these classifications will be addressed.
邀请人：程建峰
