3 papers
math.AP2019
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…
math.AP2019
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…
math.AP2018
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}…