activity
20222025
most citedProperty-preserving numerical approximation of a Cahn-Hilliard-Navier-Stokes model with variable density and degenerate mobility

8 citations · 10 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2025

A convergent time scheme for a chemotaxis-fluids model with potential consumption

Daniel Barbosa, Gabriela Planas, Francisco Guillén-González

The present work deals with a Keller-Segel-Navier-Stokes system with potential consumption, under homogeneous Neumann boundary conditions for cell density and chemical signal, and…

math.NA2024

Structure preserving finite element schemes for the Navier-Stokes-Cahn-Hilliard system with degenerate mobility

Francisco Guillén-González, Giordano Tierra

In this work we present two new numerical schemes to approximate the Navier-Stokes-Cahn-Hilliard system with degenerate mobility using finite differences in time and finite element…

math.AP2024

A Review on the Analysis and Optimal Control of Chemotaxis-Consumption Models

André Luiz Corrêa Vianna Filho, Francisco Guillén-González

In the present review we focus on the chemotaxis-consumption model and in , for any…

math.NA2023★ 8 cited

Property-preserving numerical approximation of a Cahn-Hilliard-Navier-Stokes model with variable density and degenerate mobility

Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván +1

In this paper, we present a new computational framework to approximate a Cahn-Hilliard-Navier-Stokes model with variable density and degenerate mobility that preserves the mass of…

math.NA2022★ 2 cited

Mathematical Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb

Daniel Acosta-Soba, Carmen Castro-González, Noelia Geribaldi-Doldán +5

This article is devoted to the mathematical modeling of migration of neuroblasts, precursor cells of neurons, along the pathway they usually follow before maturing. This pathway is…