220 citations · 387 across the 32 of their papers we have counts for
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Blow-up prevention by sublinear production in a n-dimensional attraction-repulsion chemotaxis system
Nicola Pintus, Giuseppe Viglialoro
In this paper we study a zero-flux attraction-repulsion che\-mo\-taxis-system. We show that despite any mutual interplay between the repulsive and attractive coefficients from the…
On the lifespan of classical solutions to a non-local porous medium problem with nonlinear boundary conditions
Monica Marras, Nicola Pintus, Giuseppe Viglialoro
In this paper we analyze the porous medium equation \begin{equation}\label{ProblemAbstract} \tag{} %\begin{cases} u_t=Δu^m + a\io u^p-b u^q -c\lvert\nabla\sqrt{u}\rvert^2…
A refined criterion and lower bounds for the blow--up time in a parabolic--elliptic chemotaxis system with nonlinear diffusion
Monica Marras, Teruto Nishino, Giuseppe Viglialoro
This paper deals with unbounded solutions to the following zero--flux chemotaxis system \begin{equation}\label{ProblemAbstract} \tag{} \begin{cases} % about u u_t=\nabla…
Explicit lower bound of blow--up time for an attraction--repulsion chemotaxis system
Giuseppe Viglialoro
In this paper we study classical solutions to the zero--flux attraction--repulsion chemotaxis--system \begin{equation}\label{ProblemAbstract} \tag{} \begin{cases} u_{ t}=…