Abstract:

This talk is about that the incompressible inviscid limit of the viscous two-fluid model on the expanding domains with general initial data in the framework of weak solutions. We will introduce some previous results and then prove rigorously that the weak solutions of the compressible two-fluid model converges to the strong solution of the incompressible Euler equations in the time interval provided that the latter exists and the tool is based on the refined relative entropy method. My talk is based on a joint work with Professor Young-Sam Kwon.