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arXiv · 1210.8131

On Two-Phase Flows with Soluble Surfactant

Dieter Bothe·Matthias Köhne·Jan Prüss
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Abstract

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.

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Dieter Bothe, Matthias Köhne, Jan Prüss. 2012-10-30. On Two-Phase Flows with Soluble Surfactant. https://arxiv.org/abs/1210.8131

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