  We employ the concepts of local quantum uncertainty and geometric quantum
discord based on the trace norm to investigate the environmental effects on
quantum correlations of two bipartite quantum systems. The first one concerns a
two-qubit system coupled with two independent bosonic reservoirs. We show that
the trace discord exhibits frozen phenomenon contrarily to local quantum
uncertainty. The second scenario deals with a two-level system, initially
prepared in a separable state, interacting with a quantized electromagnetic
radiation. Our results show that there exists an exchange of quantum
correlations between the two-level system and its surrounding which is
responsible for the revival phenomenon of non-classical correlations.
