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.
Benzi, R., Bertsch, M., Deangelis, F. (2021). A free boundary problem for binary fluids. INTERFACES AND FREE BOUNDARIES, 23(4), 485-506 [10.4171/IFB/462].
A free boundary problem for binary fluids
Benzi R.;Bertsch M.;
2021-01-01
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.File in questo prodotto:
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