  We study the kinematics of stellar disc populations within the solar
neighbourhood in order to find the imprints of the Galactic bar. We carry out
the analysis by developing a numerical resolution of the 2D2V Collisionless
Boltzmann Equation (CBE) and modelling the stellar motions within the plane of
the Galaxy within the solar neighbourhood. We recover similar results to these
obtained by different authors using N-body simulations, but we can also
numerically identify faint structures thanks to the canceling of the Poisson
noise. We find that the ratio of the bar pattern speed to the local circular
frequency is in the range $\Omega_B/\Omega$ = 1.77 to 1.91. If the Galactic bar
angle orientation is within the range from 24 to 45 degrees, the bar pattern
speed is between 46 and 49 km/s/kpc.
