  We study the dynamics of quantum memory assist entropy uncertainty for qutrit
system coupled to an environment modeled by random matrices. The results show
that the effect of relative coupling strength on entropy uncertainty is
opposite in Markov region and non-Markov region, and the influence of a common
environment and independent environments in Markov region and non-Markov region
is also opposite. One can reduce the entropy uncertainty by decreasing relative
coupling strength or puting the system in two separate environments in the
Markov case. In the non-Markov case, the entropy uncertainty can be reduced by
increasing the relative coupling strength or by placing the system in a common
environment.
