these problems could be tackled with the aid of the DDFT developed here.

The present study also addresses the problem posed by @wittkowski_dynamical_2011: generalising their work to include HIs. But our study goes a step further and also includes the inertia of the colloidal particles. We are currently in the process of implementing our DDFT equations in the pseudospectral scheme, based on Chebychev collocation[@boyd_chebyshev_2001], we have developed for the numerical treatment of DDFT for spherical particles and which has been successfully applied to a wide spectrum of physical settings; from fluids in a confining potential[@goddard_unification_2013] and mixtures in such a potential[@goddard_multi-species_2013] to adsorbed films on a substrate[@yatsyshin_spectral_2012], fluids in confined geometry[@yatsyshin_geometry-induced_2013; @yatsyshin_wetting_2015; @yatsyshin_density_2015] and contact lines[@nold_fluid_2014; @nold_nanoscale_2015]. While the theory presented here is valid for three-dimensional orientable particles, from a computational point of view systems of two-dimensional orientable particles would be more tractable. Finally, interesting extensions of the framework developed here would be to include torsional degrees of freedom to describe systems of flexible-chain molecules[@evans_momentum_1980], consider multiple-particle species, thus extending the previously developed DDFT for mixtures of spherical particles[@goddard_multi-species_2013], and confined geometry[@yatsyshin_geometry-induced_2013; @yatsyshin_wetting_2015; @yatsyshin_density_2015]. We shall examine these and related questions in future studies.

We are grateful to the anonymous 