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In this work, we briefly review the progress made in the formulation ofhydrodynamics with spin with emphasis on the application to the relativisticheavy-ion collisions. In particular, we discuss the formulation ofhydrodynamics with spin for perfect-fluid and the first order viscouscorrections with some discussion on the calculation of spin kineticcoefficients. Finally, we apply relativistic hydrodynamics with spin to therelativistic heavy-ion collisions to calculate the spin polarization of$\Lambda$-particles.

New Developments in Relativistic Fluid Dynamics with spin