“…In addition, a few related works for the Cahn-Hilliard model combined with certain fluid motion equation have also been reported, such as [9] for the convective Cahn-Hilliard equation, and [32] for the Cahn-Hilliard-Hele-Shaw model. Other than the Gevrey regularity solutions, a more general class of analytic solutions for different models of incompressible fluid have been discussed in [4,16,22,23,24,25,26,27], etc.…”