Abstract
S: On a phase-field model for two-phase flows of viscous incompressible fluids with degenerate mobility Helmut Abels University of Regensburg, Faculty for Mathematics 93040 Regensburg, Germany HELMUT.ABELS@MATHEMATIK.UNI-REGENSBURG.DE We discuss a recent model for the two-phase flow of two immiscible, incompressible fluids in the case when the densities of the fluids are different. Such models were introduced to describe the flow when singularities in the interface, which separates the fluids, (droplet formation/coalescence) occur. The fluids are assumed to be macroscopically immiscible, but a partial mixing in a small interfacial region is assumed. We will present recent results on existence of weak solutions for this model in the case of degenerate and non-degenerate mobility. Here the case of degenerate mobility is of special interest since there is no diffusion in the pure phases and the effect of Ostwald ripening does not occur for the sharp interface limit. This is a joint-work with Harald Garcke and Daniel Depner from Regensburg.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
