8 citations · 30 across the 11 of their papers we have counts for
4 papers · 1 filter
Uniform in time solutions for a chemotaxis with potential consumption model
A. L. Corrêa Vianna Filho, Francisco Guillén-González
In this work we investigate the following chemo-attraction with consumption model in bounded domains of \, (): $$ \partial_t u - Δu = - \nabla \cdot (u \nab…
Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature
A. Fernández-Romero, F. Guillén-González, A. Suárez
In this work we analyse a PDE-ODE problem modelling the evolution of a Glioblastoma, which includes an anisotropic nonlinear diffusion term with a diffusion velocity increasing wit…
On a bi-dimensional chemo-repulsion model with nonlinear production
Francisco Guillén-González, Exequiel Mallea-Zepeda, Élder J. Villamizar-Roa
In this paper, we study the following parabolic chemo-repulsion with nonlinear production model: $$ \left\{ \begin{array}{rcl} \partial_tu-Δu&=&\nabla\cdot(u\nabla v),\\ \partial_t…
Convergence to equilibrium of global weak solutions for a Cahn-Hilliard-Navier-Stokes vesicle model
Blanca Climent-Ezquerra, Francisco Guillén-González
In this paper, we introduce a model describing the dynamic of vesicle membranes within an incompressible viscous fluid in domains. The system consists of the Navier-Stokes equ…