  We propose a nonlocal model for surface tension. This model, in combination
with the Landau-Lifshitz-Navier-Stokes equations, describes mesoscale features
of the multiphase flow, including the static (pressure) tensor and curvature
dependence of surface tension. The nonlocal model is obtained in the form of an
integral of a molecular-force-like function added into the momentum
conservation equation. We present an analytical steady-state solution for fluid
pressure at the fluid-fluid interface and numerical Smoothed Particle
Hydrodynamics solutions that reveal the mesoscopic features of the proposed
model.
