  We study order reconstruction (OR) solutions in the Beris-Edwards framework
for nematodynamics, for both passive and active nematic flows in a microfluidic
channel. OR solutions exhibit polydomains and domain walls, and as such, are of
physical interest. We show that OR solutions exist for passive flows with
constant velocity and pressure, but only for specific boundary conditions. We
prove the existence of unique, symmetric and non-singular nematic profiles, for
boundary conditions that do not allow for OR solutions. We compute asymptotic
expansions for OR-type solutions for passive flows with non-constant velocity
and pressure, and active flows, which shed light into the internal structure of
domain walls. The asymptotics are complemented by extensive numerical studies
that demonstrate the universality of OR-type structures in static and dynamic
scenarios.
