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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.AP2019
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…