On Diffuse Interface Modeling and Simulation of Surfactants in Two-Phase Fluid Flow
On Diffuse Interface Modeling and Simulation of Surfactants in Two-Phase Fluid Flow
Abstract An existing phase-fieldmodel of two immiscible fluids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-posed for a large set of physically relevant parameters. As a consequence, critical modifications to the model …