Free Boundary Problems 2026

Uniform higher order estimates for the sharp interface limit of a Navier-Stokes/Allen-Cahn system

8 Sept 2026, 10:30

30m

DOR24/Floor 1-Room 101 - Lecture Hall (HU (Hegelplatz))

Phase Field Methods in Real-World Applications Phase Field Methods in Real-World Applications

Speaker

Prof. Helmut Abels (Universität Regensburg)

Description

We consider the linearized system for the sharp interface limit of a Navier-Stokes/Allen-Cahn system around a suitable approximate solution.
With the aid of a suitable weight taking the distance to the interface and the interfacial thickness into account we obtain optimal regularity estimates, which are uniformy in the interfacial thickness. This enables to improve previous convergence results in two space dimensions significantly and extend results to three space dimensions. This is a joint-work with Mingwen Fei, Yadong Liu, and Maximilian Moser.