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


报告时间:2023年10月11日:10:30 — 11:30

报告地点:腾讯会议ID:234-301-831 会议密码:1011

报告摘要: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.