  In this paper we dwell over the study of the boundary layer problem in a
hydrodynamical description of the electrons in gated graphene. It has been
verified experimentally that this fluid can display non-Poiseuille like flow as
reproduced in our numerical simulation. In fact, the velocity profile displays
a maximum value close to the boundary and then decreases as it approaches the
bulk of the graphene layer. This work aims to present a satisfactory
theoretical description of the boundary layer problem in graphene. We found
that by using the fluid equations and following a method similar to that for
deriving Blasius' equation, a non-linear model can be obtained whose solutions
display the maximum values of velocity near the edges of the graphene layer. We
argue that such a non-monotonic model and behaviour can shed some light on the
subject of non-topological edge currents in graphene.
