5 papers · 1 filter
Behavior in time of solutions of a Keller--Segel system with flux limitation and source term
Monica Marras, Stella Vernier-Piro, Tomomi Yokota
In this paper we consider radially symmetric solutions of the following parabolic--elliptic cross-diffusion system \begin{equation*} \begin{cases} u_t = Δu - \nabla \cdot (u f(|\na…
Hölder estimates of weak solutions to degenerate chemotaxis systems with a source term
M. Marras, F. Ragnedda, S. Vernier-Piro +1
In this note we consider degenerate chemotaxis systems with porous media type diffusion and a source term satisfying the Hadamard growth condition. We prove the Hölder regularity f…
Behaviour in time of solutions to fourth-order parabolic systems with time dependent coefficients
M. Marras, S. Vernier-Piro
This paper deals with a class of initial-boundary value problems for nonlinear fourth order parabolic systems with time dependent coefficients in a bounded domain $Ω\subset \mathbb…
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…