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The low-order kinematic moments of galaxies, namely bulk flow and shear,enables us to test whether theoretical models can accurately describe theevolution of the mass density field in the nearby Universe. We use theso-called etaMLE maximum likelihood estimator in logdistance space to measurethesemoments from a combined sample of the 2MASS Tully-Fisher (2MTF) survey andthe COSMICFLOWS-3 (CF3) compilation. Galaxies common between 2MTF and CF3demonstrate a small zero-point difference of -0.016+-0.002 dex.We test theetaMLE on 16 mock 2MTF survey catalogues in order to explore how well theetaMLE recovers the true moments, and the effect of sample anisotropy. On thescale size of 37 Mpc/h, we find that the bulk flow of the local Universe is 259+- 15 km/h in the direction is (l,b)=(300+-4, 23+-3) (Galactic coordinates).The average shear amplitude is 1.7+-0.4 h km/s/Mpc. We use a variable windowfunction to explore the bulk and shear moments as a function of depth. In allcases, the measurements are consistent with the predictions of the L cold darkmatter (LCDM) model.

Bulk flow and shear in the local Universe: 2MTF and COSMICFLOWS-3