most citedDarcy's flow with prescribed contact angle -- Well-posedness and lubrication approximation

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math.AP2022

-limit for a sharp interface model related to pattern formation on biomembranes

Denis Brazke, Hans Knüpfer, Anna Marciniak-Czochra

We derive a macroscopic limit for a sharp interface version of a model proposed in [29] to investigate pattern formation due to competition of chemical and mechanical forces in bio…

math.AP2012★ 4 cited

Darcy's flow with prescribed contact angle -- Well-posedness and lubrication approximation

Hans Knüpfer, Nader Masmoudi

We consider the spreading of a thin two-dimensional droplet on a solid substrate. We use a model for viscous fluids where the evolution is governed by Darcy's Law. At the triple po…