The paper explores the relationship between black branes in AdS$_5$ and boundary fluid dynamics. By promoting the velocity and temperature parameters of black branes to Goldstone modes or collective coordinate fields, the authors use Einstein's equations, regularity requirements, and boundary conditions to determine the dynamics of these fields. The resulting equations are found to be those of boundary fluid dynamics, with specific values for fluid parameters. The analysis is perturbative in the boundary derivative expansion but is valid for arbitrary amplitudes. The work provides a derivation of nonlinear equations of boundary fluid dynamics from gravity and explicitly constructs the stress tensor of the fluid up to second order in the derivative expansion. The paper also discusses the Weyl invariance of the fluid dynamical stress tensor and its implications for sound and shear wave dispersion.The paper explores the relationship between black branes in AdS$_5$ and boundary fluid dynamics. By promoting the velocity and temperature parameters of black branes to Goldstone modes or collective coordinate fields, the authors use Einstein's equations, regularity requirements, and boundary conditions to determine the dynamics of these fields. The resulting equations are found to be those of boundary fluid dynamics, with specific values for fluid parameters. The analysis is perturbative in the boundary derivative expansion but is valid for arbitrary amplitudes. The work provides a derivation of nonlinear equations of boundary fluid dynamics from gravity and explicitly constructs the stress tensor of the fluid up to second order in the derivative expansion. The paper also discusses the Weyl invariance of the fluid dynamical stress tensor and its implications for sound and shear wave dispersion.