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math.AP2024
Uniqueness and regularity for the Navier-Stokes-Cahn-Hilliard system
Andrea Giorgini, Alain Miranville, Roger Temam
The motion of two contiguous incompressible and viscous fluids is described within the diffuse interface theory by the so-called Model H. The system consists of the Navier-Stokes e…
math.AP2024
Global Solutions for Two-Phase Complex Fluids with Quadratic Anchoring in Soft Matter Physics
Giulia Bevilacqua, Andrea Giorgini
We study a diffuse interface model describing the complex rheology and the interfacial dynamics during phase separation in a polar liquid-crystalline emulsion. More precisely, the…