  The property of quantum correlation has been studied in recent years,
especially for the quantum and classical correlations affected by environment.
The dynamics of quantum and classical correlations in two-qubit system under
identical local noise channels have been investigated recently. Here we will
consider the dynamics of quantum and classical correlations when the local
noise channels of two sides are not identical. We investigate the dynamics of
quantum and classical correlations with three types of local noise channels in
both Markovian and non-Markovian conditions, and show the decay rules of
quantum and classical correlations with different types and parameter times of
local noise channels.
