A temperature-coupled Cahn-Hilliard-Stokes-Heat system is analyzed with a proof of local weak solution existence for the regularized model and a convex-splitting finite element scheme shown to be mass-conserving and energy-stable in the isothermal case.
On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities.// Archive for rational mechanics and analysis
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A Temperature-Coupled Cahn-Hilliard-Stokes-Heat Model for Thermally Driven Phase Separation
A temperature-coupled Cahn-Hilliard-Stokes-Heat system is analyzed with a proof of local weak solution existence for the regularized model and a convex-splitting finite element scheme shown to be mass-conserving and energy-stable in the isothermal case.