报告人：陈超博士

福建师范大学数学与计算机科学学院

报告题目: Three Dimensional Steady Subsonic Euler Flows in Bounded Nozzles

报告时间：2014年01月03日上午10:00

报告地点：海韵实验楼108

学院联系人：罗珍助理教授

报告摘要：The existence and uniqueness of three dimensional steady subsonic Euler flows in rectangular nozzles were obtained when prescribing normal component of momentum at both the entrance and exit. If, in addition, the normal component of the vorticity  and the variation of Bernoulli's function at the entrance are both zero, then there exists a unique subsonic potential flow when the magnitude of the normal component of the momentum is less than a critical number. As the magnitude of the normal component of the momentum approaches the critical number, the associated flows converge to a subsonic-sonic flow. Furthermore, when the normal component of vorticity and the variation of Bernoulli's function are both small, the existence and uniqueness of subsonic Euler flows with non-zero vorticity is established. The proof of these results is based on a new formulation for the Euler system,  a priori estimate for nonlinear elliptic equations with nonlinear boundary conditions, detailed study for  a linear div-curl system, and delicate estimate for the transport equations.

欢迎广大师生参加！