Global weak solutions exist for the compressible Navier-Stokes/Cahn-Hilliard system with singular Flory-Huggins entropy in 3D for gamma > 3/2 and large initial data.
Abels,Existence of weak solutions for a diffuse interface model for viscous, incompressible fluids with general densities, Commun
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Global weak solutions to a compressible Navier--Stokes/Cahn--Hilliard system with singular entropy of mixing
Global weak solutions exist for the compressible Navier-Stokes/Cahn-Hilliard system with singular Flory-Huggins entropy in 3D for gamma > 3/2 and large initial data.