Special Session 85: Phase-field models and their singular limits

Sharp interface limit of the 3D Navier-Stokes/Allen-Cahn system
Mingwen Fei
Anhui Normal University
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk we shall prove convergence of the solutions of the 3D Navier-Stokes/Allen-Cahn system to solutions of the sharp interface model. Such limits are known as sharp interface limits. We generalize our previous two-dimensional results to the three-dimensional setting. This talk is based on a joint work with Helmut Abels, Yadong Liu and Maximilian Moser.