Blow-up prevention by quadratic degradation in a two-dimensional Keller–Segel–Navier–Stokes system

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A three-dimensional Keller–Segel–Navier–Stokes system with logistic source: Global weak solutions and asymptotic stabilization (2019, background): “1) has been addressed in [57], where global bounded classical solutions have been constructed for arbitrary ρ ≥ 0 and μ > 0 and any f satisfying appropriate regularity and boundedness conditions.”
Long-term behaviour in a chemotaxis-fluid system with logistic source (2016, background): “encompassing both mechanisms at the same time were proven to exist under a smallness condition on initial data ([20]). Chemotaxis ﬂuid models including logistic growth (κ,µ>0) have been treated in [38, 33, 36, 43, 4]. In [38], a result on the existence of weak solutions for (1) is given, and for ”
Boundedness and stabilization in a three-dimensional two-species chemotaxis-Navier--Stokes system with competitive kinetics (2017, unknown): “in Ω× (0,∞), uε → u in L(2)loc([0,∞);L(Ω)) for all p ∈ [1, 6) and a.”