Degenerate Potential Equation and Subsonic- Sonic Flows
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题 目：Degenerate Potential Equation and Subsonic- Sonic Flows
报告人：辛周平 教授 （香港中文大学数学科学研究所）
摘 要：Steady compressible irrotational subsonic-sonic flows in general finite two dimensional nozzles are governed by potential flow equation which is degenerate in sonic points. The wellposedness of regular solutions is a long standing open problem with only partial results available in the literature. In this talk, I will present a rather complete theory of wellposedness of Lipschitz continuous solutions for general smooth nozzles. More importantly, the location of sonic points are completely characterized by the geometry of the nozzle. This is a joint work with Chunpeng Wang.