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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability
We consider the initial-boundary value problem of a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities in a bounded domain $Ω\subset\mathbb{R}^3$. Our first aim is to study the energy equality for global weak solutions by establishing mix
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