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Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains
This paper is concerned with degenerate chemotaxis-Navier-Stokes systems with position-dependent sensitivity on a two dimensional bounded domain. It is known that in the case without aExpand
Boundedness in quasilinear Keller–Segel systems of parabolic–parabolic type on non-convex bounded domains
Abstract This paper deals with the quasilinear fully parabolic Keller–Segel system { u t = ∇ ⋅ ( D ( u ) ∇ u ) − ∇ ⋅ ( S ( u ) ∇ v ) , x ∈ Ω , t > 0 , v t = Δ v − v + u , x ∈ Ω , t > 0 , underExpand
Global existence of weak solutions to quasilinear degenerate Keller–Segel systems of parabolic–parabolic type
Abstract This paper deals with the quasilinear degenerate Keller–Segel system (KS) of parabolic–parabolic type. The global existence of weak solutions to (KS) is established when q m + 2 N (m denotesExpand
Global existence of weak solutions to quasilinear degenerate Keller-Segel systems of parabolic-parabolic type with small data
This paper deals with the quasilinear degenerate Keller–Segel system (KS) of “parabolic–parabolic” type. The global existence of weak solutions to (KS) with small initial data is established whenExpand
Blow-up in finite or infinite time for quasilinear degenerate Keller-Segel systems of parabolic-parabolic type
This paper gives a blow-up result for the quasilinear degenerate Keller-Segel systems of parabolic-parabolic type. It is known that the system has a global solvability in the case where $q < m +Expand
Global-in-time bounded weak solutions to a degenerate quasilinear Keller-Segel system with rotation
We consider a degenerate quasilinear Keller–Segel system of fully-parabolic type involving rotation in the aggregative term, where is a bounded convex domain with smooth boundary. Here S(u, v, x) =Expand
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