  We present a number of exact solutions to the linearised Grad equations for
non-equilibrium rarefied gas flows and heat flows. The solutions include the
flow and pressure fields associated to a point force placed in a rarefied gas
flow close to a no-slip boundary and the temperature field for a point heat
source placed in a heat flow close to a temperature jump boundary. We also
derive the solution of the unsteady Grad equations in one dimension with a
time-dependent point heat source term and the Grad analogue of the rotlet, a
well-known singularity of Stokes flow which corresponds to a point torque.
