  We investigate the non-linear transport processes and hydrodynamization of a
system of gluons undergoing longitudinal boost-invariant expansion. The
dynamics is described within the framework of the Boltzmann equation in the
small-angle approximation. The kinetic equations for a suitable set of moments
of the one-particle distribution function are derived. By investigating the
stability and asymptotic resurgent properties of this dynamical system, we
demonstrate, that its solutions exhibit a rather different behavior for large
(UV) and small (IR) effective Knudsen numbers. Close to the forward attractor
in the IR regime the constitutive relations of each moment can be written as a
multiparameter transseries. This resummation scheme allows us to extend the
definition of a transport coefficient to the non-equilibrium regime naturally.
Each transport coefficient is renormalized by the non-perturbative
contributions of the non-hydrodynamic modes. The Knudsen number dependence of
the transport coefficient is governed by the corresponding renormalization
group flow equation. An interesting feature of the Yang-Mills plasma in this
regime is that it exhibits transient non-Newtonian behavior while
hydrodynamizing. In the UV regime the solution for the moments can be written
as a power-law asymptotic series with a finite radius of convergence. We show
that radius of convergence of the UV perturbative expansion grows linearly as a
function of the shear viscosity to entropy density ratio. Finally, we compare
the universal properties in the pullback and forward attracting regions to
other kinetic models including the relaxation time approximation and the
effective kinetic Arnold-Moore-Yaffe (AMY) theory.
