activity
20222025
most citedUniform in time solutions for a chemotaxis with potential consumption model

8 citations · 19 across the 6 of their papers we have counts for

collaborators

6 papers

math.OC2025★ 1 cited

A graph-based approach to customer segmentation using the RFM model

André Luiz Corrêa Vianna Filho, Leonardo de Lima, Mariana Kleina

The present article proposes a graph-based approach to customer segmentation, combining the RFM analysis with the classical optimization max--cut problem. We consider each custo…

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.OC2023★ 5 cited

An optimal control problem subject to strong solutions of chemotaxis-consumption models

Francisco Guillén-González, André Luiz Corrêa Vianna Filho

We consider a bilinear optimal control problem associated to the following chemotaxis-consumption model in a bounded domain during a time interval :…

math.OC2022★ 1 cited

Optimal control related to weak solutions of a chemotaxis-consumption model

Francisco Guillén-González, André Luiz Corrêa Vianna Filho

In the present work we investigate an optimal control problem related to the following chemotaxis-consumption model in a bounded domain : $$\partial_t u - Δu…

math.NA2022★ 4 cited

Convergence of a time discrete scheme for a chemotaxis-consumption model

Francisco Guillén-González, André Luiz Corrêa Vianna Filho

In the present work we propose and study a time discrete scheme for the following chemotaxis-consumption model (for any ), $$ \partial_t u - Δu = - \nabla \cdot (u \nabla v…

math.AP2022★ 8 cited

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…