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Relativistic hydrodynamics dual to Einstein-Gauss-Bonnet gravity inasymptotic $\textrm{AdS}_5$ space is under study. To linear order in theamplitude of the fluid velocity and temperature, we derive the fluid'sstress-energy tensor via an all-order resummation of the derivative terms. Eachorder is accompanied by new transport coefficients, which all together could becompactly absorbed into two functions of momenta, referred to as viscosityfunctions. Via inverse Fourier transform, these viscosities appear as memoryfunctions in the constitutive relation between components of the stress-energytensor.

Hydrodynamics dual to Einstein-Gauss-Bonnet gravity: all-order gradient resummation