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Abstract: Conventional electronic transport is limited by the collisions of electrons with phonons and impurities. However, in certain clean materials electron-electron interactions form the dominant source of scattering. This unusual transport regime is dubbed electron hydrodynamics. Motivated by recent experiments on suspended bilayer graphene, we study transport in bilayer graphene near charge neutrality. We use the semiclassical Boltzmann equation to numerically calculate the dc transport properties. We find that phonon scattering is the dominant source of momentum relaxation in this system. Nonetheless, electron-electron scattering still dominates over phonon collisions allowing a hydrodynamic approach. We introduce a simple two-fluid hydrodynamic model of electrons and holes interacting via Coulomb drag that captures the relevant physics.