关于举行香港城市大学杨彤教授学术报告的通知

报告题目：Well-posedness of thermal layer equations in compressible non-isentropic flows.

报 告 人：杨彤 教授（香港城市大学）

报告时间：12月27日（周日）下午16:30-17:30

报告地点：4号楼4318室

 

 

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                                       数学学院

                                    2015年12月23日

 

报告摘要：

A semi-explicit formula of solution to the boundary layer system for thermal layer derived from the compressible Navier-Stokes equations with the non-slip boundary condition  when the viscosity coefficient vanishes is given, in particular for three space dimension. In contrast to the inviscid Prandtl system studied by Hong-Hunter in two space dimension, the main difficulty comes from the coupling of the velocity field and the temperature field through a degenerate parabolic equation. Both the blow up phenomena and the convergence to the inviscid Prandtl system are also studied. Moreover, the time asymptotic stability of the linearized system aroud a shear flow is given, in particular, in three space dimension, it shows that the asymptotic stability depends on whether the direction of tangential velocity field of the shear flow is invariant in the normal direction respective to the boundary.