This paper proposes a survey and critical analysis focused on a variety of chemotaxis
models in biology, namely the classical Keller–Segel model and its subsequent …

We consider the chemotaxis-fluid system 0.1 in a bounded convex domain Ω⊂ R 3 with
smooth boundary, where ϕ∈ W 1,∞(Ω) and D, f and S are given functions with values in …

In this paper, the fully parabolic Keller-Segel system\begin {equation}\left\{\begin {array}{llc}
u_t=\Delta u-\nabla\cdot (u\nabla v), & (x, t)\in\Omega\times (0, T),\\v_t=\Delta v-v+ u, & (x …

The coupled chemotaxis fluid system {n_t= Δ n-∇ ⋅ (n S (x, n, c) ⋅ ∇ c)-u ⋅ ∇ n, &\quad (x,
t) ∈ Ω * (0, T),\c_t= Δ c-nc-u ⋅ ∇ c, &\quad (x, t) ∈ Ω * (0, T),\u_t= Δ u-(u ⋅ ∇) u+ ∇ P+ n ∇ …

The chemotaxis system u_t=Δu-∇⋅(uS(x,u,v)⋅∇v);\v_t=Δv-uf(v) (referred to as (⋆) in this
abstract), for the density u=u(x,t) of a cell population and the concentration v=v(x,t) of an …

Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical
sensitivity Page 1 Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XVIII (2018), 421-466 Global …

This paper deals with a boundary-value problem in two-dimensional smoothly bounded
domains for the coupled Keller–Segel–Stokes system {n t+ u⋅∇ n= Δ n−∇⋅(n S (x, n, c)⋅∇ …

In this paper we continue to deal with the initial–boundary value problem for the coupled
Keller–Segel–Stokes system {n t+ u⋅∇ n= Δ n−∇⋅(n S (x, n, c)⋅∇ c),(x, t)∈ Ω×(0, T), c t+ …

This paper deals with a micro–macro derivation of a variety of cross-diffusion models for a
large system of active particles. Some of the models at the macroscopic scale can be viewed …

We consider the spatially 2D version of the model for nutrient taxis processes, possibly
interacting with liquid environments. Here the particular focus is on the situation when the …