A free boundary problem for binary fluids
Analysis of PDEs
2021-11-09 v1
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.
Cite
@article{arxiv.2005.05200,
title = {A free boundary problem for binary fluids},
author = {Roberto Benzi and Michiel Bertsch and Francesco Deangelis},
journal= {arXiv preprint arXiv:2005.05200},
year = {2021}
}
Comments
19 pages