Published Paper

Inserted: 30 apr 2025
Last Updated: 30 apr 2025

Journal: Interfaces and Free Boundaries
Volume: 23
Number: 4
Pages: 485–506
Year: 2021
Doi: 10.4171/IFB/462

Abstract:

A free boundary problem for the dynamics of a glasslike binary fluid naturally leads to a singular perturbation problem for a strongly degenerate parabolic partial differential equation in 1D. We present a conjecture for an asymptotic formula for the velocity of the free boundary and prove a weak version of the conjecture. The results are based on the analysis of a family of local travelling wave solutions.