A quasi compressible-Stokes iteration scheme with applications to subsonic flows at the high Reynolds number

发布时间：2023-10-24 作者：浏览次数：

Speaker:	张筑	DateTime:	2023年10月25日（周三）上午10:30-11:30
Brief Introduction to Speaker: 张筑: 香港理工大学		Place:	6号楼2楼报告厅
Abstract:Even though there are extensive studies on the stability/instability of different hydrodynamic patterns in various physical settings, particularly in the high Reynolds number limit of laminar flows for the incompressible Navier-Stokes equations, there are much fewer mathematical results in the compressible setting. This talk will present a new approach to studying the compressible Navier-Stokes equations in the subsonic and high Reynolds number regimes. The main ingredient is introducing two new operators involving quasi-compressible and Stokes approximations. And then, an iteration scheme is defined by applying these operators to solve the linearized compressible Navier-Stokes equations. Some applications of this approach will also be discussed.