On Two-Phase Flows with Soluble Surfactant
Analysis of PDEs
2012-10-31 v1 Mathematical Physics
Dynamical Systems
math.MP
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.
Cite
@article{arxiv.1210.8131,
title = {On Two-Phase Flows with Soluble Surfactant},
author = {Dieter Bothe and Matthias Köhne and Jan Prüss},
journal= {arXiv preprint arXiv:1210.8131},
year = {2012}
}