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- W4313304942 abstract "This paper concerns a diffuse interface model for the flow of two incompressible viscoelastic fluids in a bounded domain. More specifically, the fluids are assumed to be macroscopically immiscible, but with a small transition region, where the two components are partially mixed. Considering the elasticity of both components, one ends up with a coupled Oldroyd-B/Cahn--Hilliard type system, which describes the behavior of two-phase viscoelastic fluids. We prove the existence of weak solutions to the system in two dimensions for general (unmatched) mass densities, variable viscosities, different shear moduli, and a class of physically relevant and singular free energy densities that guarantee that the order parameter stays in the physically reasonable interval. The proof relies on a combination of a novel regularization of the original system and a new hybrid implicit time discretization for the regularized system together with the analysis of an Oldroyd-B type equation." @default.
- W4313304942 created "2023-01-06" @default.
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- W4313304942 date "2022-12-27" @default.
- W4313304942 modified "2023-09-23" @default.
- W4313304942 title "On a diffuse interface model for incompressible viscoelastic two-phase flows" @default.
- W4313304942 doi "https://doi.org/10.48550/arxiv.2212.13507" @default.
- W4313304942 hasPublicationYear "2022" @default.
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