2 papers
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.DS2017
Boundedness in a fully parabolic chemotaxis system with nonlinear diffusion and sensitivity, and logistic source
M. Marras, G. Viglialoro
In this paper we study the zero-flux chemotaxis-system \begin{equation*} \begin{cases} u_{ t}=\nabla \cdot ((u+1)^{m-1} \nabla u-(u+1)^αχ(v)\nabla v) + ku-μu^2 & x\in Ω, t>0, \\ v_…