| Abstract: |
| In this talk, we will discuss the inviscid limit of solutions to initial boundary value problems of viscous hydrodynamics equations with high Reynolds numbers. Due to the mismatch of boundary conditions between the viscous hydrodynamics equations and the limit system (ideal hydrodynamics equations), the boundary layer correction functions usually are introduced as studying the process of inviscid limit of solutions. We will discuss both the stability of boundary layers and the justification of Prandtl boundary layer expansions. First, we will review the progress of analysis of boundary layer equations and inviscid limits; Then, we will introduce the results obtained in recent years in the study of inviscid limits and the stability analysis of boundary layers on MHD. |
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