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We consider a diffuse interface model for incompressible isothermal mixtures of two immiscible fluids with matched densities. This model consists of the Navier-Stokes system coupled with a convective nonlocal Cahn-Hilliard equation. We discuss some recent results in dimension two obtained in collaboration with C.G. Gal (Florida International University) and S. Frigeri (WIAS, Berlin). |
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