2021
DOI: 10.48550/arxiv.2112.13805
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Well-posedness of a Hydrodynamic Phase-field Model for Functionalized Membrane-Fluid Interaction

Hao Wu,
Yuchen Yang

Abstract: In this paper, we study a hydrodynamic phase-field system modeling the deformation of functionalized membranes in incompressible viscous fluids. The governing PDE system consists of the Navier-Stokes equations coupled with a convective sixth-order Cahn-Hilliard type equation driven by the functionalized Cahn-Hilliard free energy, which describes phase separation in mixtures with an amphiphilic structure. In the three dimensional case, we first prove existence of global weak solutions provided that the initial … Show more

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