  Gubser flow is an axis-symmetric and boost-invariant evolution in a
relativistic quantum field theory which is best studied by mapping
$\mathbf{R}^{3,1}$ to $dS_{3}\times \mathbf{R}$ when the field theory has
conformal symmetry. We show that at late de-Sitter time, which corresponds to
large proper time and central region of the future wedge within
$\mathbf{R}^{3,1}$, the holographic conformal field theory plasma can reach a
state in which $\varepsilon = P_T = - P_L$, with $\varepsilon$, $P_T$ and $P_L$
being the energy density, transverse and longitudinal pressures, respectively.
We further determine the full sub-leading behaviour of the energy-momentum
tensor at late time. Restricting to flows in which the energy density decays at
large transverse distance from the central axis in $\mathbf{R}^{3,1}$, we show
that this decay should be faster than any power law. Furthermore, in this case
the energy density also vanishes in $\mathbf{R}^{3,1}$ faster than any power as
we go back to early proper time. Hydrodynamic behavior can appear in
intermediate time.
