text: Abstract 
  
  We review recent experiments on dewetting thin ﬁlms of evaporating colloidal nanoparticle suspensions 
  
  (nanoﬂuids) and discuss several theoretical approaches to describe the ongoing processes including coupled 
  
  transport and phase changes. These approaches range from microscopic discrete stochastic theories to 
  
  mesoscopic continuous deterministic descriptions.  In particular, we focus on (i) a microscopic kinetic 
  
  Monte Carlo model, (ii) a dynamical density functional theory and (iii) a hydrodynamic thin ﬁlm model. 
  
  Models (i) and (ii) are employed to discuss the formation of polygonal networks, spinodal and branched 
  
  structures resulting from the dewetting of an ultrathin ‘postcursor ﬁlm’ that remains behind a mesoscopic 
  
  dewetting front. We highlight, in particular, the presence of a transverse instability in the evaporative 
  
  dewetting front which results in highly branched ﬁngering structures. The subtle interplay of decomposition 
  
  in the ﬁlm and contact line motion is discussed. 
  
  Finally, we discuss a simple thin ﬁlm model (iii) of the hydrodynamics on the mesoscale. We employ 
  
  coupled evolution equations for the ﬁlm thickness proﬁle and mean particle concentration. The model is 