On the existence of global strong solutions to 2D compressible Navier–Stokes–Smoluchowski equations with large initial data

Strong solutions to a fluid-particle interaction model with magnetic field in $ \mathbb{R}^2 $

“…Furthermore, they obtained the global well-posedness of classical solutions as well as the asymptotic behavior in [15] with small initial assumptions. In dimension two, the global existence of strong solutions containing vacuum to the Cauchy problem was considered in [19] when the large initial condition is allowed.…”