2 papers
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…
math.AP2019
Effect of nonlinear diffusion on a lower bound for the blow-up time in a fully parabolic chemotaxis system
Teruto Nishino, Tomomi Yokota
This paper deals with a lower bound for the blow-up time for solutions of the fully parabolic chemotaxis system \begin{equation*} \begin{cases} u_t=\nabla \cdot [(u+α)^{m_1-1} \nab…