220 citations · 387 across the 32 of their papers we have counts for
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Finite-time blow-up prevention in a two-dimensional chemotaxis-consumption model with weakly singular sensitivity
Giuseppe Viglialoro
In this paper we study a two-dimensional chemotaxis-consumption system with singular sensitivity and endowed with Neumann boundary conditions. Sufficient conditions on the data of…
Solvability of a Keller-Segel system with signal-dependent sensitivity and essentially sublinear production
Giuseppe Viglialoro, Thomas E. Woolley
In this paper we consider the zero-flux chemotaxis-system \begin{equation*} \begin{cases} u_{t}=Δu-\nabla \cdot (u χ(v)\nabla v) & \textrm{in}\quad Ω\times (0,\infty), \\ 0=Δv-v+g(…
Global existence and boundedness of solutions to a chemotaxis-consumption model with singular sensitivity
Johannes Lankeit, Giuseppe Viglialoro
In this paper we study the zero-flux chemotaxis-system \begin{equation*} \begin{cases} u_t=Δu -χ\nabla \cdot (\frac{u}{v} \nabla v) \\ v_t=Δv-f(u)v \end{cases} \end{equation*} in a…
Properties of solutions to porous medium problems with different sources and boundary conditions
Tongxing Li, Nicola Pintus, Giuseppe Viglialoro
In this paper we study nonnegative and classical solutions $u=u(\nx,t)$ to porous medium problems of the type \begin{equation}\label{ProblemAbstract} \tag{} \begin{cases}…