报告题目: The well-posedness of axially symmetric compressible subsonic jet impinging flow

报告时间:腾讯会议 (174-631-174), 

      2022.3.10 ： 10：00---11：00

报告人：程建峰，四川大学副教授

摘要：This talk is concerned with the well-posedness theory of the impact of a subsonic axially symmetric jet emerging from a semi-infinitely long nozzle, onto a rigid wall. The fluid motion is described by the steady isentropic Euler system. We showed that there exists a critical value M_{cr}>0, if the given mass flux is less than M_{cr}, there exists a unique smooth subsonic axially symmetric jet issuing from the given semi-infinitely long nozzle and hitting a given uneven wall. The surface of the axially symmetric impinging jet is a free boundary, which detaches from the edge of the nozzle smoothly. It is showed that a unique suitable choice of the pressure difference between the chamber and the atmosphere guarantees the continuous fit condition of the free boundary. Moreover, the asymptotic behaviors and the decay properties of the impinging jet and the free surface in downstream were also obtained. This is a joint work with Prof. Lili Du (SCU) and Prof. Qin Zhang (CQJTU).

报告人简介：程建峰，四川大学数学学院特聘副研究员。2013年本科毕业于河南大学，2019年博士毕业于四川大学，2019年至2020年香港中文大学数学科学研究所博士后。主要从事非线性偏微分方程的研究工作，研究方向为椭圆方程的Bernoulli型自由边界问题和定常理想流体的自由流线问题，在Arch. Rational Mech. Anal.、Trans. AMS、Math. Models Methods Appl. Sci.、Ann. Inst. H. Poincaré Anal. Non Linéaire、SIAM、JDE等发表论文10余篇。2021年入选教育部重要人才计划青年学者。