科学研究
报告题目:

On Low Mach Number Limit of steady Euler Flows

报告人:

王天怡(武汉理工大学)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

In this talk, we justify the low Mach number limit of the steady irrotational Euler flows for the airfoil problem, which is the first result for the low Mach number limit of the steady Euler flows in an exterior domain. The uniform estimates on the compressibility parameter, which is singular for the flows, are established via a variational approach based on the compressible-incompressible difference functions. The limit is on the Holder space and is unique. It is noticeable that, due to the feature of the airfoil problem, the extra force dominates the asymptotic decay rate of the compressible flow to the infinity. And the effect of extra force vanishes in the limiting process from compressible flows to the incompressible ones, as the Mach number goes to zero. Also, we will mention the recent further works on the nozzles.