報(bào)告題目： Compressible subsonic jet flows through a de Laval nozzle

報(bào)告人：王曉慧

報(bào)告時(shí)間： 2025年06月10日下午 15:00-16:00

報(bào)告地點(diǎn)：騰訊會(huì)議：939-876-316

會(huì)議密碼：021591

報(bào)告摘要：

This paper is concerned with the well-posedness of the compressible subsonic jet flows issuing from a semiinfinitely long nozzle, the free streamline detaches smoothly from the nozzle wall and the detachment is not known a priori. More specifically, given a semi-infinitely long de Laval type nozzle and an atmosphere pressure p_atm>0, there exist a critical value m_cr>0 and an interval [▁p,p ￣], such that for any incoming mass flux m_0∈(0,m_cr) and the pressure difference p_dif ∈[▁p,p ￣], there exists a unique compressible subsonic jet flow and the detachment lies on the divergent part of the nozzle wall. Moreover, the detachment is continuous and strictly monotonic with respect to p_dif . Finally, we also establish the optimal C^1,1/2 regularity of the free boundary at the detachment.

報(bào)告人簡(jiǎn)介：

王曉慧，2020 年 7 月博士畢業(yè)于四川大學(xué)，2020 年 8 月入職成都理工大學(xué)，2022年 12 月晉升為副教授。香港中文大學(xué)和香港城市大學(xué)訪問(wèn)學(xué)者。獲批國(guó)家自然科學(xué)基金青年項(xiàng)目和數(shù)學(xué)天元基金項(xiàng)目；獲批四川省自然科學(xué)基金青年項(xiàng)目和面上項(xiàng)目。主要從事于流體力學(xué)中 Euler 方程組的自由邊界問(wèn)題相關(guān)方面的研究工作，在國(guó)際 SCI 學(xué)術(shù)期刊 J. Differential Equations, Commun. Math. Sci. 和 J. Math. Phys. 等上發(fā)表論文 10 余篇。