  By using the gauge-invariant kinetic equation approach [Yang and Wu, Phys.
Rev. B {\bf 98}, 094507 (2018); {\bf 100}, 104513 (2019)], we construct the
coupled dual dynamics of macroscopic phase coherence and microscopic electronic
fluids in cuprate superconductors. We prove that the developed dual dynamics
provides an efficient and simplified approach to formulate the dephasing
process of macroscopic superconducting phase coherence, as well as its
influence on microscopic electronic fluids (including gap, densities of
superfluid and normal fluid, and in particular, the transport property to
determine superconducting transition temperature $T_c$). We then present
theoretical description of the preformed Cooper pairs in pseudogap state. The
key origin of pseudogap state comes from the quantum effect of disorder, which
excites the macroscopic inhomogeneous phase fluctuation through Josephson
effect. Influenced by this phase fluctuation, there exist normal fluid and
viscous superfluid below $T_c$ in cuprate superconductors, in addition to
conventional non-viscous superfluid. The normal fluid always emerges around
nodal points even at zero temperature, whereas the viscous superfluid emerges
due to the friction between superfluid and normal fluid. Particularly, the
non-viscous superfluid gets suppressed when the phase fluctuation is enhanced
by increasing temperature, until vanishes at $T_c$. Then, the system enters the
pseudogap state, showing the nonzero resistivity as well as the finite gap from
the viscous superfluid. By further increasing temperature to $T^{\rm os}$, the
viscous superfluid and hence gap vanish. An experimental scheme to distinguish
the densities of normal fluid as well as viscous and non-viscous superfluids is
proposed. Finally, this theory is also applied to low-dimensional disordered
$s$-wave superconductors.
