Global weak solutions exist for the quasi-incompressible Navier-Stokes/Cahn-Hilliard system with unmatched densities, singular potential, and mass-averaged velocity on the 3-torus.
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2026 2verdicts
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Global well-posedness of spherically symmetric classical solutions is established for degenerate compressible Navier-Stokes equations in 2D and 3D with large initial data for alpha above approximately 0.54-0.68 and gamma in specified ranges.
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Global weak solutions to a diffuse-interface model for quasi-incompressible two-phase flows with unmatched densities and singular potential
Global weak solutions exist for the quasi-incompressible Navier-Stokes/Cahn-Hilliard system with unmatched densities, singular potential, and mass-averaged velocity on the 3-torus.
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Global Well-Posedness of Classical Solutions to the Multi-Dimensional Degenerate Compressible Navier-Stokes Equations with Large Spherically Symmetric Initial Data
Global well-posedness of spherically symmetric classical solutions is established for degenerate compressible Navier-Stokes equations in 2D and 3D with large initial data for alpha above approximately 0.54-0.68 and gamma in specified ranges.