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Paper detail

On Two-Phase Flows with Soluble Surfactant

The presence of surfactants has a pronounced effect on the surface tension and, hence, on the stress balance at the phase separating interface of two-phase flows. The transport of momentum induced by the local variations of the capillary forces are known as Marangoni effects. Here we study a model, which assumes the surfactant to be soluble in one of the adjacent bulk phases and which represents a generalization of the two-phase Navier-Stokes equations. Based on maximal Lp-regularity results for suitable linearizations we obtain local well-posedness of this model. We employ recent results from the Lp-theory of two-phase flows without surfactant.

preprint2012arXivOpen access
Dieter BotheMatthias KöhneJan Prüss
math.APmath-phmath.DSmath.MP
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Dieter BotheMatthias KöhneJan Prüss

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