Hydrodynamic Transport Theory of a non-Galilean invariant Electron Liquid*

We develop a hydrodynamic transport theory of a non-Galilean invariant electron liquid in the presence of smooth inhomogeneities with emphasis on graphene. We computed the transport coefficients near charge neutrality point and showed a break down of the Wiedemann Franz law, resembling the observations in Crossno et al. Science 351, 1058, (2016). We studied magnetotransport phenomena and showed that the magnetoresistance is positive and quadratic in weak fields. Lastly, we examined magnetothermal transport phenomena and derived the Nernst and Ettingshausen coefficients.