Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D

Moreover, from the analysis of certain energy-type inequalities arising during the investigation of the eventual regularity, we will also derive a result on global existence of classical solutions under assumption of certain smallness conditions on the size of n0 in L1(Ω) and in Llog⁡L(Ω), u0 in L4(Ω), and of ∇c0 in L2(Ω).