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- W4386148045 abstract "We analyze a diffuse interface model for multi-phase flows of $N$ incompressible, viscous Newtonian fluids with different densities. In the case of a bounded and sufficiently smooth domain existence of weak solutions in two and three space dimensions and a singular free energy density is shown. Moreover, in two space dimensions global well-posedness for sufficiently regular initial data is proven. In three space dimension well-posedness locally in time is shown as well as regularization for large times in the absence of exterior forces. In both cases convergence to stationary solutions as time tends to infinity is proved." @default.
- W4386148045 created "2023-08-25" @default.
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- W4386148045 date "2023-08-22" @default.
- W4386148045 modified "2023-10-16" @default.
- W4386148045 title "Mathematical Analysis of a Diffuse Interface Model for Multi-Phase Flows of Incompressible Viscous Fluids with Different Densities" @default.
- W4386148045 doi "https://doi.org/10.48550/arxiv.2308.11813" @default.
- W4386148045 hasPublicationYear "2023" @default.
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