Global-in-time varifold weak solutions are proved to exist for the two-phase Navier-Stokes-Mullins-Sekerka system with unequal densities, including constant contact angle and a sharp De Giorgi energy inequality.
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Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities
Global-in-time varifold weak solutions are proved to exist for the two-phase Navier-Stokes-Mullins-Sekerka system with unequal densities, including constant contact angle and a sharp De Giorgi energy inequality.