| Abstract: |
| We investigate the Rayleigh-Taylor (RT) problem within the framework of diffuse-interface models for incompressible two-phase flows with unmatched densities under a uniform gravitational field. For the three-dimensional Abels-Garcke-Gr\{u}n system, we demonstrate that sufficiently large viscosity or mobility can inhibit the RT instability under appropriate stability conditions. Moreover, we establish a stability criterion that involves the system`s coefficients. |
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