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A free boundary problem for binary fluids

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arxiv 2005.05200 v1 pith:JPZWZCHO submitted 2020-05-11 math.AP

Roberto Benzi , Michiel Bertsch , Francesco Deangelis This is my paper
classification math.AP
keywords boundaryfreeproblembinaryconjectureanalysisasymptoticdegenerate
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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.

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