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We study the kinematics of stellar disc populations within the solarneighbourhood in order to find the imprints of the Galactic bar. We carry outthe analysis by developing a numerical resolution of the 2D2V CollisionlessBoltzmann Equation (CBE) and modelling the stellar motions within the plane ofthe Galaxy within the solar neighbourhood. We recover similar results to theseobtained by different authors using N-body simulations, but we can alsonumerically identify faint structures thanks to the canceling of the Poissonnoise. We find that the ratio of the bar pattern speed to the local circularfrequency is in the range $\Omega_B/\Omega$ = 1.77 to 1.91. If the Galactic barangle orientation is within the range from 24 to 45 degrees, the bar patternspeed is between 46 and 49 km/s/kpc.

Collisionless Boltzmann equation approach for the study of stellar discs within barred galaxies