1 citations · 1 across the 3 of their papers we have counts for
4 papers
Exploring numerical blow-up phenomena for the Keller-Segel-Navier-Stokes equations
Jesús Bonilla, Juan Vicente Gutiérrez-Santacreu
The Keller-Segel-Navier-Stokes system governs chemotaxis in liquid environments. This system is to be solved for the organism and chemoattractant densities and for the fluid veloci…
Bound-preserving finite element approximations of the Keller-Segel equations
Santiago Badia, Jesús Bonilla, Juan Vicente Gutiérrez-Santacreu
This paper aims to develop numerical approximations of the Keller--Segel equations that mimic at the discrete level the lower bounds and the energy law of the continuous problem. W…
Analysis of a fully discrete approximation for the classical Keller--Segel model: lower and a priori bounds
Juan Vicente Gutiérrez-Santacreu, José Rafael Rodríguez-Galván
This paper is devoted to constructing approximate solutions for the classical Keller--Segel model governing \emph{chemotaxis}. It consists of a system of nonlinear parabolic equati…
Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equations
Juan Vicente Gutiérrez-Santacreu
In this paper we construct two families of initial data being arbitrarily large under any scaling-invariant norm for which their corresponding weak solution to the three-dimensiona…