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https://stockholmuniversity.zoom.us/j/530682073
https://arxiv.org/abs/2004.10759
Relativistic fluids are Lorentz invariant, and a non-relativistic limit of such fluids leads to the well-known Navier-Stokes equation. However, for fluids moving with respect to a reference system, or in critical systems with generic dynamical exponent z, the assumption of Lorentz invariance (or its non-relativistic version) does not hold. In this talk I will introduce a more general theory of fluids assuming only homogeneity and isotropy. Remarkably, such systems have not been treated in full generality in the literature so far. I will first consider this at the perfect fluid level, which includes a more general stress tensor, corresponding corrections to the Euler equations for boost non-invariant systems as well as new expressions for the speed of sound. As a concrete illustration, I will briefly illustrate the case of ideal classical and quantum Lifshitz gases. Subsequently, I will turn to the transport behavior of such fluids, corrections to the Navier-Stokes equation, along with the determination of all dissipative and non-dissipative first order transport coefficients and their effect on the sound, shear and diffusion modes.