Generalized dynamical density functional theory for classical fluids and   the significance of inertia and hydrodynamic interactions
  We study the dynamics of a colloidal fluid including inertia and hydrodynamic interactions, two effects which strongly influence the non-equilibrium properties of the system. We derive a general dynamical density functional theory (DDFT) which shows very good agreement with full Langevin dynamics. In suitable limits, we recover existing DDFTs and a Navier-Stokes-like equation with additional non-local terms. 
Benjamin D. Goddard, Andreas Nold, Nikos Savva, Grigorios A.   Pavliotis, Serafim Kalliadasis
cond-mat.stat-mech cond-mat.soft math-ph math.MP