  Motivated by stochastic convection-diffusion problems we derive a posteriori
error estimates for non-stationary non-linear convection-diffusion equations
acting as a deterministic paradigm. The problem considered here neither fits
into the standard linear framework due to its non-linearity nor into the
standard non-linear framework due to the lacking differentiability of the
non-linearity. Particular attention is paid to the interplay of the various
parameters controlling the relative sizes of diffusion, convection, reaction,
and non-linearity (noise).
